chore: shortcut instance for `Neg ℤˣ` #22043

YaelDillies · 2025-02-18T13:36:21Z

This lets us avoid importing Ring in downstream files (most of the effect is to come).

github-actions · 2025-02-18T13:37:19Z

PR summary 9c0630e3df

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Algebra.Ring.Int.Units	211	0	-211 (-100.00%)
Mathlib.Data.Int.Associated	365	355	-10 (-2.74%)
Mathlib.Algebra.GCDMonoid.Nat	410	409	-1 (-0.24%)
Mathlib.Algebra.Order.Ring.Abs	460	459	-1 (-0.22%)
Mathlib.Data.Int.AbsoluteValue	562	561	-1 (-0.18%)
Mathlib.Data.Fintype.Units	706	705	-1 (-0.14%)
Mathlib.GroupTheory.HNNExtension	816	815	-1 (-0.12%)
Mathlib.Algebra.Ring.NegOnePow	867	866	-1 (-0.12%)
Mathlib.NumberTheory.NumberField.Basic	1578	1577	-1 (-0.06%)

Import changes for all files

Files	Import difference
`Mathlib.Algebra.Ring.Int.Units`	-211
`Mathlib.Data.Int.Associated`	-10
2186 files `Mathlib.Algebra.AddConstMap.Basic` `Mathlib.Algebra.AddConstMap.Equiv` `Mathlib.Algebra.Algebra.Subalgebra.IsSimpleOrder` `Mathlib.Algebra.Algebra.Subalgebra.Rank` `Mathlib.Algebra.Algebra.ZMod` `Mathlib.Algebra.AlgebraicCard` `Mathlib.Algebra.BrauerGroup.Defs` `Mathlib.Algebra.Category.FGModuleCat.Basic` `Mathlib.Algebra.Category.FGModuleCat.Limits` `Mathlib.Algebra.Category.Grp.EnoughInjectives` `Mathlib.Algebra.Category.Grp.Injective` `Mathlib.Algebra.Category.Grp.LargeColimits` `Mathlib.Algebra.Category.Grp.Ulift` `Mathlib.Algebra.Category.ModuleCat.Differentials.Basic` `Mathlib.Algebra.Category.ModuleCat.Differentials.Presheaf` `Mathlib.Algebra.Category.ModuleCat.EnoughInjectives` `Mathlib.Algebra.Category.ModuleCat.ExteriorPower` `Mathlib.Algebra.Category.Ring.LinearAlgebra` `Mathlib.Algebra.Category.Ring.Under.Limits` `Mathlib.Algebra.Central.TensorProduct` `Mathlib.Algebra.CharP.CharAndCard` `Mathlib.Algebra.CharP.ExpChar` `Mathlib.Algebra.CharP.Lemmas` `Mathlib.Algebra.CharP.LinearMaps` `Mathlib.Algebra.CharP.Quotient` `Mathlib.Algebra.CharP.Reduced` `Mathlib.Algebra.CharP.Two` `Mathlib.Algebra.ContinuedFractions.Computation.ApproximationCorollaries` `Mathlib.Algebra.ContinuedFractions.Computation.Approximations` `Mathlib.Algebra.ContinuedFractions.Computation.Basic` `Mathlib.Algebra.ContinuedFractions.Computation.CorrectnessTerminating` `Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat` `Mathlib.Algebra.ContinuedFractions.Computation.Translations` `Mathlib.Algebra.DirectSum.Idempotents` `Mathlib.Algebra.DirectSum.LinearMap` `Mathlib.Algebra.Field.NegOnePow` `Mathlib.Algebra.Field.Periodic` `Mathlib.Algebra.Field.ZMod` `Mathlib.Algebra.GCDMonoid.IntegrallyClosed` `Mathlib.Algebra.GCDMonoid.Nat` `Mathlib.Algebra.GeomSum` `Mathlib.Algebra.Group.ConjFinite` `Mathlib.Algebra.Group.Pointwise.Finset.Interval` `Mathlib.Algebra.Homology.BifunctorAssociator` `Mathlib.Algebra.Homology.BifunctorFlip` `Mathlib.Algebra.Homology.BifunctorHomotopy` `Mathlib.Algebra.Homology.BifunctorShift` `Mathlib.Algebra.Homology.Bifunctor` `Mathlib.Algebra.Homology.ComplexShapeSigns` `Mathlib.Algebra.Homology.DerivedCategory.Basic` `Mathlib.Algebra.Homology.DerivedCategory.ExactFunctor` `Mathlib.Algebra.Homology.DerivedCategory.Ext.Basic` `Mathlib.Algebra.Homology.DerivedCategory.Ext.ExactSequences` `Mathlib.Algebra.Homology.DerivedCategory.Ext.ExtClass` `Mathlib.Algebra.Homology.DerivedCategory.HomologySequence` `Mathlib.Algebra.Homology.DerivedCategory.ShortExact` `Mathlib.Algebra.Homology.DerivedCategory.SingleTriangle` `Mathlib.Algebra.Homology.HomotopyCategory.DegreewiseSplit` `Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift` `Mathlib.Algebra.Homology.HomotopyCategory.HomComplex` `Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor` `Mathlib.Algebra.Homology.HomotopyCategory.MappingCone` `Mathlib.Algebra.Homology.HomotopyCategory.Pretriangulated` `Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence` `Mathlib.Algebra.Homology.HomotopyCategory.Shift` `Mathlib.Algebra.Homology.HomotopyCategory.ShortExact` `Mathlib.Algebra.Homology.HomotopyCategory.SingleFunctors` `Mathlib.Algebra.Homology.HomotopyCategory.Triangulated` `Mathlib.Algebra.Homology.Monoidal` `Mathlib.Algebra.Homology.TotalComplexShift` `Mathlib.Algebra.Homology.TotalComplexSymmetry` `Mathlib.Algebra.Homology.TotalComplex` `Mathlib.Algebra.Lie.CartanExists` `Mathlib.Algebra.Lie.CartanMatrix` `Mathlib.Algebra.Lie.CartanSubalgebra` `Mathlib.Algebra.Lie.Character` `Mathlib.Algebra.Lie.Classical` `Mathlib.Algebra.Lie.Derivation.Killing` `Mathlib.Algebra.Lie.EngelSubalgebra` `Mathlib.Algebra.Lie.Engel` `Mathlib.Algebra.Lie.Free` `Mathlib.Algebra.Lie.InvariantForm` `Mathlib.Algebra.Lie.Killing` `Mathlib.Algebra.Lie.LieTheorem` `Mathlib.Algebra.Lie.Matrix` `Mathlib.Algebra.Lie.Nilpotent` `Mathlib.Algebra.Lie.Rank` `Mathlib.Algebra.Lie.Semisimple.Basic` `Mathlib.Algebra.Lie.Semisimple.Defs` `Mathlib.Algebra.Lie.Semisimple.Lemmas` `Mathlib.Algebra.Lie.SkewAdjoint` `Mathlib.Algebra.Lie.Sl2` `Mathlib.Algebra.Lie.Solvable` `Mathlib.Algebra.Lie.TraceForm` `Mathlib.Algebra.Lie.UniversalEnveloping` `Mathlib.Algebra.Lie.Weights.Basic` `Mathlib.Algebra.Lie.Weights.Cartan` `Mathlib.Algebra.Lie.Weights.Chain` `Mathlib.Algebra.Lie.Weights.Killing` `Mathlib.Algebra.Lie.Weights.Linear` `Mathlib.Algebra.Lie.Weights.RootSystem` `Mathlib.Algebra.Module.CharacterModule` `Mathlib.Algebra.Module.DedekindDomain` `Mathlib.Algebra.Module.LinearMap.Polynomial` `Mathlib.Algebra.Module.PID` `Mathlib.Algebra.Module.Presentation.Differentials` `Mathlib.Algebra.Module.Torsion` `Mathlib.Algebra.Module.ZLattice.Basic` `Mathlib.Algebra.Module.ZLattice.Covolume` `Mathlib.Algebra.Module.ZMod` `Mathlib.Algebra.MvPolynomial.Funext` `Mathlib.Algebra.Order.AbsoluteValue.Basic` `Mathlib.Algebra.Order.AbsoluteValue.Euclidean` `Mathlib.Algebra.Order.Antidiag.Nat` `Mathlib.Algebra.Order.Archimedean.Basic` `Mathlib.Algebra.Order.Archimedean.Hom` `Mathlib.Algebra.Order.Archimedean.IndicatorCard` `Mathlib.Algebra.Order.Archimedean.Submonoid` `Mathlib.Algebra.Order.BigOperators.Expect` `Mathlib.Algebra.Order.BigOperators.Ring.Finset` `Mathlib.Algebra.Order.CauSeq.Basic` `Mathlib.Algebra.Order.CauSeq.BigOperators` `Mathlib.Algebra.Order.CauSeq.Completion` `Mathlib.Algebra.Order.Chebyshev` `Mathlib.Algebra.Order.CompleteField` `Mathlib.Algebra.Order.Field.Basic` `Mathlib.Algebra.Order.Field.Power` `Mathlib.Algebra.Order.Floor.Prime` `Mathlib.Algebra.Order.Floor` `Mathlib.Algebra.Order.Group.Pointwise.Interval` `Mathlib.Algebra.Order.Nonneg.Floor` `Mathlib.Algebra.Order.Ring.Abs` `Mathlib.Algebra.Order.Round` `Mathlib.Algebra.Order.ToIntervalMod` `Mathlib.Algebra.Polynomial.Bivariate` `Mathlib.Algebra.Polynomial.Degree.CardPowDegree` `Mathlib.Algebra.Polynomial.DenomsClearable` `Mathlib.Algebra.Polynomial.Expand` `Mathlib.Algebra.Polynomial.Module.FiniteDimensional` `Mathlib.Algebra.Polynomial.UnitTrinomial` `Mathlib.Algebra.Ring.NegOnePow` `Mathlib.Algebra.Ring.Periodic` `Mathlib.Algebra.Squarefree.Basic` `Mathlib.Algebra.Star.CHSH` `Mathlib.AlgebraicGeometry.AffineScheme` `Mathlib.AlgebraicGeometry.AffineSpace` `Mathlib.AlgebraicGeometry.Cover.MorphismProperty` `Mathlib.AlgebraicGeometry.Cover.Open` `Mathlib.AlgebraicGeometry.Cover.Over` `Mathlib.AlgebraicGeometry.EllipticCurve.Affine` `Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Basic` `Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Degree` `Mathlib.AlgebraicGeometry.EllipticCurve.Group` `Mathlib.AlgebraicGeometry.EllipticCurve.IsomOfJ` `Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian` `Mathlib.AlgebraicGeometry.EllipticCurve.Projective` `Mathlib.AlgebraicGeometry.Fiber` `Mathlib.AlgebraicGeometry.FunctionField` `Mathlib.AlgebraicGeometry.GammaSpecAdjunction` `Mathlib.AlgebraicGeometry.GluingOneHypercover` `Mathlib.AlgebraicGeometry.Gluing` `Mathlib.AlgebraicGeometry.IdealSheaf` `Mathlib.AlgebraicGeometry.Limits` `Mathlib.AlgebraicGeometry.Modules.Presheaf` `Mathlib.AlgebraicGeometry.Modules.Sheaf` `Mathlib.AlgebraicGeometry.Modules.Tilde` `Mathlib.AlgebraicGeometry.Morphisms.AffineAnd` `Mathlib.AlgebraicGeometry.Morphisms.Affine` `Mathlib.AlgebraicGeometry.Morphisms.Basic` `Mathlib.AlgebraicGeometry.Morphisms.ClosedImmersion` `Mathlib.AlgebraicGeometry.Morphisms.Constructors` `Mathlib.AlgebraicGeometry.Morphisms.Etale` `Mathlib.AlgebraicGeometry.Morphisms.FinitePresentation` `Mathlib.AlgebraicGeometry.Morphisms.FiniteType` `Mathlib.AlgebraicGeometry.Morphisms.Finite` `Mathlib.AlgebraicGeometry.Morphisms.Flat` `Mathlib.AlgebraicGeometry.Morphisms.FormallyUnramified` `Mathlib.AlgebraicGeometry.Morphisms.Immersion` `Mathlib.AlgebraicGeometry.Morphisms.Integral` `Mathlib.AlgebraicGeometry.Morphisms.IsIso` `Mathlib.AlgebraicGeometry.Morphisms.OpenImmersion` `Mathlib.AlgebraicGeometry.Morphisms.Preimmersion` `Mathlib.AlgebraicGeometry.Morphisms.Proper` `Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact` `Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated` `Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties` `Mathlib.AlgebraicGeometry.Morphisms.Separated` `Mathlib.AlgebraicGeometry.Morphisms.Smooth` `Mathlib.AlgebraicGeometry.Morphisms.SurjectiveOnStalks` `Mathlib.AlgebraicGeometry.Morphisms.UnderlyingMap` `Mathlib.AlgebraicGeometry.Morphisms.UniversallyClosed` `Mathlib.AlgebraicGeometry.Morphisms.UniversallyInjective` `Mathlib.AlgebraicGeometry.Noetherian` `Mathlib.AlgebraicGeometry.OpenImmersion` `Mathlib.AlgebraicGeometry.Over` `Mathlib.AlgebraicGeometry.PointsPi` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Proper` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme` `Mathlib.AlgebraicGeometry.Properties` `Mathlib.AlgebraicGeometry.PullbackCarrier` `Mathlib.AlgebraicGeometry.Pullbacks` `Mathlib.AlgebraicGeometry.RationalMap` `Mathlib.AlgebraicGeometry.ResidueField` `Mathlib.AlgebraicGeometry.Restrict` `Mathlib.AlgebraicGeometry.Scheme` `Mathlib.AlgebraicGeometry.Sites.BigZariski` `Mathlib.AlgebraicGeometry.Sites.Etale` `Mathlib.AlgebraicGeometry.Sites.MorphismProperty` `Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski` `Mathlib.AlgebraicGeometry.Sites.Small` `Mathlib.AlgebraicGeometry.Spec` `Mathlib.AlgebraicGeometry.SpreadingOut` `Mathlib.AlgebraicGeometry.Stalk` `Mathlib.AlgebraicGeometry.StructureSheaf` `Mathlib.AlgebraicGeometry.ValuativeCriterion` `Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic` `Mathlib.AlgebraicTopology.FundamentalGroupoid.FundamentalGroup` `Mathlib.AlgebraicTopology.FundamentalGroupoid.InducedMaps` `Mathlib.AlgebraicTopology.FundamentalGroupoid.PUnit` `Mathlib.AlgebraicTopology.FundamentalGroupoid.Product` `Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected` `Mathlib.AlgebraicTopology.SingularHomology.Basic` `Mathlib.AlgebraicTopology.SingularSet` `Mathlib.AlgebraicTopology.TopologicalSimplex` `Mathlib.Analysis.AbsoluteValue.Equivalence` `Mathlib.Analysis.Analytic.Basic` `Mathlib.Analysis.Analytic.CPolynomialDef` `Mathlib.Analysis.Analytic.CPolynomial` `Mathlib.Analysis.Analytic.ChangeOrigin` `Mathlib.Analysis.Analytic.Composition` `Mathlib.Analysis.Analytic.Constructions` `Mathlib.Analysis.Analytic.Inverse` `Mathlib.Analysis.Analytic.IsolatedZeros` `Mathlib.Analysis.Analytic.IteratedFDeriv` `Mathlib.Analysis.Analytic.Linear` `Mathlib.Analysis.Analytic.OfScalars` `Mathlib.Analysis.Analytic.Order` `Mathlib.Analysis.Analytic.Polynomial` `Mathlib.Analysis.Analytic.RadiusLiminf` `Mathlib.Analysis.Analytic.Uniqueness` `Mathlib.Analysis.Analytic.Within` `Mathlib.Analysis.Asymptotics.AsymptoticEquivalent` `Mathlib.Analysis.Asymptotics.Defs` `Mathlib.Analysis.Asymptotics.ExpGrowth` `Mathlib.Analysis.Asymptotics.Lemmas` `Mathlib.Analysis.Asymptotics.SpecificAsymptotics` `Mathlib.Analysis.Asymptotics.SuperpolynomialDecay` `Mathlib.Analysis.Asymptotics.TVS` `Mathlib.Analysis.Asymptotics.Theta` `Mathlib.Analysis.BoundedVariation` `Mathlib.Analysis.BoxIntegral.Basic` `Mathlib.Analysis.BoxIntegral.Box.Basic` `Mathlib.Analysis.BoxIntegral.Box.SubboxInduction` `Mathlib.Analysis.BoxIntegral.DivergenceTheorem` `Mathlib.Analysis.BoxIntegral.Integrability` `Mathlib.Analysis.BoxIntegral.Partition.Additive` `Mathlib.Analysis.BoxIntegral.Partition.Basic` `Mathlib.Analysis.BoxIntegral.Partition.Filter` `Mathlib.Analysis.BoxIntegral.Partition.Measure` `Mathlib.Analysis.BoxIntegral.Partition.Split` `Mathlib.Analysis.BoxIntegral.Partition.SubboxInduction` `Mathlib.Analysis.BoxIntegral.Partition.Tagged` `Mathlib.Analysis.BoxIntegral.UnitPartition` `Mathlib.Analysis.CStarAlgebra.ApproximateUnit` `Mathlib.Analysis.CStarAlgebra.Basic` `Mathlib.Analysis.CStarAlgebra.CStarMatrix` `Mathlib.Analysis.CStarAlgebra.Classes` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unitary` `Mathlib.Analysis.CStarAlgebra.ContinuousLinearMap` `Mathlib.Analysis.CStarAlgebra.ContinuousMap` `Mathlib.Analysis.CStarAlgebra.Exponential` `Mathlib.Analysis.CStarAlgebra.GelfandDuality` `Mathlib.Analysis.CStarAlgebra.Hom` `Mathlib.Analysis.CStarAlgebra.Matrix` `Mathlib.Analysis.CStarAlgebra.Module.Constructions` `Mathlib.Analysis.CStarAlgebra.Module.Defs` `Mathlib.Analysis.CStarAlgebra.Module.Synonym` `Mathlib.Analysis.CStarAlgebra.Multiplier` `Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart` `Mathlib.Analysis.CStarAlgebra.Spectrum` `Mathlib.Analysis.CStarAlgebra.Unitization` `Mathlib.Analysis.CStarAlgebra.lpSpace` `Mathlib.Analysis.Calculus.AddTorsor.AffineMap` `Mathlib.Analysis.Calculus.AddTorsor.Coord` `Mathlib.Analysis.Calculus.BumpFunction.Basic` `Mathlib.Analysis.Calculus.BumpFunction.Convolution` `Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension` `Mathlib.Analysis.Calculus.BumpFunction.InnerProduct` `Mathlib.Analysis.Calculus.BumpFunction.Normed` `Mathlib.Analysis.Calculus.Conformal.InnerProduct` `Mathlib.Analysis.Calculus.Conformal.NormedSpace` `Mathlib.Analysis.Calculus.ContDiff.Basic` `Mathlib.Analysis.Calculus.ContDiff.Bounds` `Mathlib.Analysis.Calculus.ContDiff.CPolynomial` `Mathlib.Analysis.Calculus.ContDiff.Defs` `Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries` `Mathlib.Analysis.Calculus.ContDiff.FaaDiBruno` `Mathlib.Analysis.Calculus.ContDiff.FiniteDimension` `Mathlib.Analysis.Calculus.ContDiff.RCLike` `Mathlib.Analysis.Calculus.ContDiff.WithLp` `Mathlib.Analysis.Calculus.DSlope` `Mathlib.Analysis.Calculus.Darboux` `Mathlib.Analysis.Calculus.Deriv.Abs` `Mathlib.Analysis.Calculus.Deriv.Add` `Mathlib.Analysis.Calculus.Deriv.AffineMap` `Mathlib.Analysis.Calculus.Deriv.Basic` `Mathlib.Analysis.Calculus.Deriv.Comp` `Mathlib.Analysis.Calculus.Deriv.Inv` `Mathlib.Analysis.Calculus.Deriv.Inverse` `Mathlib.Analysis.Calculus.Deriv.Linear` `Mathlib.Analysis.Calculus.Deriv.Mul` `Mathlib.Analysis.Calculus.Deriv.Pi` `Mathlib.Analysis.Calculus.Deriv.Polynomial` `Mathlib.Analysis.Calculus.Deriv.Pow` `Mathlib.Analysis.Calculus.Deriv.Prod` `Mathlib.Analysis.Calculus.Deriv.Shift` `Mathlib.Analysis.Calculus.Deriv.Slope` `Mathlib.Analysis.Calculus.Deriv.Star` `Mathlib.Analysis.Calculus.Deriv.Support` `Mathlib.Analysis.Calculus.Deriv.ZPow` `Mathlib.Analysis.Calculus.DiffContOnCl` `Mathlib.Analysis.Calculus.FDeriv.Add` `Mathlib.Analysis.Calculus.FDeriv.Analytic` `Mathlib.Analysis.Calculus.FDeriv.Basic` `Mathlib.Analysis.Calculus.FDeriv.Bilinear` `Mathlib.Analysis.Calculus.FDeriv.Comp` `Mathlib.Analysis.Calculus.FDeriv.Equiv` `Mathlib.Analysis.Calculus.FDeriv.Extend` `Mathlib.Analysis.Calculus.FDeriv.Linear` `Mathlib.Analysis.Calculus.FDeriv.Measurable` `Mathlib.Analysis.Calculus.FDeriv.Mul` `Mathlib.Analysis.Calculus.FDeriv.Norm` `Mathlib.Analysis.Calculus.FDeriv.Pi` `Mathlib.Analysis.Calculus.FDeriv.Prod` `Mathlib.Analysis.Calculus.FDeriv.RestrictScalars` `Mathlib.Analysis.Calculus.FDeriv.Star` `Mathlib.Analysis.Calculus.FDeriv.Symmetric` `Mathlib.Analysis.Calculus.FDeriv.WithLp` `Mathlib.Analysis.Calculus.FirstDerivativeTest` `Mathlib.Analysis.Calculus.FormalMultilinearSeries` `Mathlib.Analysis.Calculus.Gradient.Basic` `Mathlib.Analysis.Calculus.Implicit` `Mathlib.Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn` `Mathlib.Analysis.Calculus.InverseFunctionTheorem.ContDiff` `Mathlib.Analysis.Calculus.InverseFunctionTheorem.Deriv` `Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv` `Mathlib.Analysis.Calculus.InverseFunctionTheorem.FiniteDimensional` `Mathlib.Analysis.Calculus.IteratedDeriv.Defs` `Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas` `Mathlib.Analysis.Calculus.LHopital` `Mathlib.Analysis.Calculus.LagrangeMultipliers` `Mathlib.Analysis.Calculus.LineDeriv.Basic` `Mathlib.Analysis.Calculus.LineDeriv.IntegrationByParts` `Mathlib.Analysis.Calculus.LineDeriv.Measurable` `Mathlib.Analysis.Calculus.LineDeriv.QuadraticMap` `Mathlib.Analysis.Calculus.LocalExtr.Basic` `Mathlib.Analysis.Calculus.LocalExtr.LineDeriv` `Mathlib.Analysis.Calculus.LocalExtr.Polynomial` `Mathlib.Analysis.Calculus.LocalExtr.Rolle` `Mathlib.Analysis.Calculus.LogDeriv` `Mathlib.Analysis.Calculus.MeanValue` `Mathlib.Analysis.Calculus.Monotone` `Mathlib.Analysis.Calculus.ParametricIntegral` `Mathlib.Analysis.Calculus.ParametricIntervalIntegral` `Mathlib.Analysis.Calculus.Rademacher` `Mathlib.Analysis.Calculus.SmoothSeries` `Mathlib.Analysis.Calculus.TangentCone` `Mathlib.Analysis.Calculus.Taylor` `Mathlib.Analysis.Calculus.UniformLimitsDeriv` `Mathlib.Analysis.Calculus.VectorField` `Mathlib.Analysis.Complex.AbelLimit` `Mathlib.Analysis.Complex.AbsMax` `Mathlib.Analysis.Complex.Angle` `Mathlib.Analysis.Complex.Arg` `Mathlib.Analysis.Complex.Asymptotics` `Mathlib.Analysis.Complex.Basic` `Mathlib.Analysis.Complex.CauchyIntegral` `Mathlib.Analysis.Complex.Circle` `Mathlib.Analysis.Complex.Conformal` `Mathlib.Analysis.Complex.Convex` `Mathlib.Analysis.Complex.Hadamard` `Mathlib.Analysis.Complex.HalfPlane` `Mathlib.Analysis.Complex.IntegerCompl` `Mathlib.Analysis.Complex.IsIntegral` `Mathlib.Analysis.Complex.Isometry` `Mathlib.Analysis.Complex.Liouville` `Mathlib.Analysis.Complex.LocallyUniformLimit` `Mathlib.Analysis.Complex.OpenMapping` `Mathlib.Analysis.Complex.OperatorNorm` `Mathlib.Analysis.Complex.Periodic` `Mathlib.Analysis.Complex.PhragmenLindelof` `Mathlib.Analysis.Complex.Polynomial.Basic` `Mathlib.Analysis.Complex.Polynomial.UnitTrinomial` `Mathlib.Analysis.Complex.Positivity` `Mathlib.Analysis.Complex.ReImTopology` `Mathlib.Analysis.Complex.RealDeriv` `Mathlib.Analysis.Complex.RemovableSingularity` `Mathlib.Analysis.Complex.Schwarz` `Mathlib.Analysis.Complex.TaylorSeries` `Mathlib.Analysis.Complex.Tietze` `Mathlib.Analysis.Complex.UnitDisc.Basic` `Mathlib.Analysis.Complex.UpperHalfPlane.Basic` `Mathlib.Analysis.Complex.UpperHalfPlane.Exp` `Mathlib.Analysis.Complex.UpperHalfPlane.FunctionsBoundedAtInfty` `Mathlib.Analysis.Complex.UpperHalfPlane.Manifold` `Mathlib.Analysis.Complex.UpperHalfPlane.Metric` `Mathlib.Analysis.Complex.UpperHalfPlane.Topology` `Mathlib.Analysis.ConstantSpeed` `Mathlib.Analysis.Convex.AmpleSet` `Mathlib.Analysis.Convex.Basic` `Mathlib.Analysis.Convex.Between` `Mathlib.Analysis.Convex.Birkhoff` `Mathlib.Analysis.Convex.Body` `Mathlib.Analysis.Convex.Caratheodory` `Mathlib.Analysis.Convex.Combination` `Mathlib.Analysis.Convex.Cone.Basic` `Mathlib.Analysis.Convex.Cone.Closure` `Mathlib.Analysis.Convex.Cone.Extension` `Mathlib.Analysis.Convex.Cone.InnerDual` `Mathlib.Analysis.Convex.Cone.Pointed` `Mathlib.Analysis.Convex.Cone.Proper` `Mathlib.Analysis.Convex.Continuous` `Mathlib.Analysis.Convex.Contractible` `Mathlib.Analysis.Convex.Deriv` `Mathlib.Analysis.Convex.EGauge` `Mathlib.Analysis.Convex.Exposed` `Mathlib.Analysis.Convex.Extrema` `Mathlib.Analysis.Convex.Extreme` `Mathlib.Analysis.Convex.Function` `Mathlib.Analysis.Convex.GaugeRescale` `Mathlib.Analysis.Convex.Gauge` `Mathlib.Analysis.Convex.Hull` `Mathlib.Analysis.Convex.Independent` `Mathlib.Analysis.Convex.Integral` `Mathlib.Analysis.Convex.Intrinsic` `Mathlib.Analysis.Convex.Jensen` `Mathlib.Analysis.Convex.Join` `Mathlib.Analysis.Convex.KreinMilman` `Mathlib.Analysis.Convex.Measure` `Mathlib.Analysis.Convex.Mul` `Mathlib.Analysis.Convex.PartitionOfUnity` `Mathlib.Analysis.Convex.Quasiconvex` `Mathlib.Analysis.Convex.Radon` `Mathlib.Analysis.Convex.Segment` `Mathlib.Analysis.Convex.Side` `Mathlib.Analysis.Convex.SimplicialComplex.Basic` `Mathlib.Analysis.Convex.Slope` `Mathlib.Analysis.Convex.SpecificFunctions.Basic` `Mathlib.Analysis.Convex.SpecificFunctions.Deriv` `Mathlib.Analysis.Convex.SpecificFunctions.Pow` `Mathlib.Analysis.Convex.Star` `Mathlib.Analysis.Convex.StoneSeparation` `Mathlib.Analysis.Convex.StrictConvexBetween` `Mathlib.Analysis.Convex.StrictConvexSpace` `Mathlib.Analysis.Convex.Strict` `Mathlib.Analysis.Convex.Strong` `Mathlib.Analysis.Convex.Topology` `Mathlib.Analysis.Convex.TotallyBounded` `Mathlib.Analysis.Convex.Uniform` `Mathlib.Analysis.Convex.Visible` `Mathlib.Analysis.Convolution` `Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff` `Mathlib.Analysis.Distribution.FourierSchwartz` `Mathlib.Analysis.Distribution.SchwartzSpace` `Mathlib.Analysis.Fourier.AddCircleMulti` `Mathlib.Analysis.Fourier.AddCircle` `Mathlib.Analysis.Fourier.FiniteAbelian.Orthogonality` `Mathlib.Analysis.Fourier.FiniteAbelian.PontryaginDuality` `Mathlib.Analysis.Fourier.FourierTransformDeriv` `Mathlib.Analysis.Fourier.FourierTransform` `Mathlib.Analysis.Fourier.Inversion` `Mathlib.Analysis.Fourier.PoissonSummation` `Mathlib.Analysis.Fourier.RiemannLebesgueLemma` `Mathlib.Analysis.Fourier.ZMod` `Mathlib.Analysis.FunctionalSpaces.SobolevInequality` `Mathlib.Analysis.Hofer` `Mathlib.Analysis.InnerProductSpace.Adjoint` `Mathlib.Analysis.InnerProductSpace.Basic` `Mathlib.Analysis.InnerProductSpace.Calculus` `Mathlib.Analysis.InnerProductSpace.Completion` `Mathlib.Analysis.InnerProductSpace.ConformalLinearMap` `Mathlib.Analysis.InnerProductSpace.Continuous` `Mathlib.Analysis.InnerProductSpace.Convex` `Mathlib.Analysis.InnerProductSpace.Defs` `Mathlib.Analysis.InnerProductSpace.Dual` `Mathlib.Analysis.InnerProductSpace.EuclideanDist` `Mathlib.Analysis.InnerProductSpace.GramSchmidtOrtho` `Mathlib.Analysis.InnerProductSpace.JointEigenspace` `Mathlib.Analysis.InnerProductSpace.LaxMilgram` `Mathlib.Analysis.InnerProductSpace.LinearMap` `Mathlib.Analysis.InnerProductSpace.LinearPMap` `Mathlib.Analysis.InnerProductSpace.MeanErgodic` `Mathlib.Analysis.InnerProductSpace.NormPow` `Mathlib.Analysis.InnerProductSpace.OfNorm` `Mathlib.Analysis.InnerProductSpace.Orientation` `Mathlib.Analysis.InnerProductSpace.Orthogonal` `Mathlib.Analysis.InnerProductSpace.Orthonormal` `Mathlib.Analysis.InnerProductSpace.PiL2` `Mathlib.Analysis.InnerProductSpace.Positive` `Mathlib.Analysis.InnerProductSpace.ProdL2` `Mathlib.Analysis.InnerProductSpace.Projection` `Mathlib.Analysis.InnerProductSpace.Rayleigh` `Mathlib.Analysis.InnerProductSpace.Semisimple` `Mathlib.Analysis.InnerProductSpace.Spectrum` `Mathlib.Analysis.InnerProductSpace.StarOrder` `Mathlib.Analysis.InnerProductSpace.Subspace` `Mathlib.Analysis.InnerProductSpace.Symmetric` `Mathlib.Analysis.InnerProductSpace.TwoDim` `Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology` `Mathlib.Analysis.InnerProductSpace.l2Space` `Mathlib.Analysis.LocallyConvex.AbsConvexOpen` `Mathlib.Analysis.LocallyConvex.AbsConvex` `Mathlib.Analysis.LocallyConvex.BalancedCoreHull` `Mathlib.Analysis.LocallyConvex.Barrelled` `Mathlib.Analysis.LocallyConvex.Basic` `Mathlib.Analysis.LocallyConvex.Bounded` `Mathlib.Analysis.LocallyConvex.ContinuousOfBounded` `Mathlib.Analysis.LocallyConvex.Polar` `Mathlib.Analysis.LocallyConvex.StrongTopology` `Mathlib.Analysis.LocallyConvex.WeakDual` `Mathlib.Analysis.LocallyConvex.WeakOperatorTopology` `Mathlib.Analysis.LocallyConvex.WeakSpace` `Mathlib.Analysis.LocallyConvex.WithSeminorms` `Mathlib.Analysis.Matrix` `Mathlib.Analysis.MeanInequalitiesPow` `Mathlib.Analysis.MeanInequalities` `Mathlib.Analysis.MellinInversion` `Mathlib.Analysis.MellinTransform` `Mathlib.Analysis.Meromorphic.Basic` `Mathlib.Analysis.Meromorphic.Order` `Mathlib.Analysis.Normed.Affine.AddTorsorBases` `Mathlib.Analysis.Normed.Affine.AddTorsor` `Mathlib.Analysis.Normed.Affine.ContinuousAffineMap` `Mathlib.Analysis.Normed.Affine.Convex` `Mathlib.Analysis.Normed.Affine.Isometry` `Mathlib.Analysis.Normed.Affine.MazurUlam` `Mathlib.Analysis.Normed.Affine.Simplex` `Mathlib.Analysis.Normed.Algebra.Basic` `Mathlib.Analysis.Normed.Algebra.Exponential` `Mathlib.Analysis.Normed.Algebra.MatrixExponential` `Mathlib.Analysis.Normed.Algebra.Norm` `Mathlib.Analysis.Normed.Algebra.QuaternionExponential` `Mathlib.Analysis.Normed.Algebra.Spectrum` `Mathlib.Analysis.Normed.Algebra.TrivSqZeroExt` `Mathlib.Analysis.Normed.Algebra.Ultra` `Mathlib.Analysis.Normed.Algebra.UnitizationL1` `Mathlib.Analysis.Normed.Algebra.Unitization` `Mathlib.Analysis.Normed.Field.Basic` `Mathlib.Analysis.Normed.Field.InfiniteSum` `Mathlib.Analysis.Normed.Field.Instances` `Mathlib.Analysis.Normed.Field.Lemmas` `Mathlib.Analysis.Normed.Field.ProperSpace` `Mathlib.Analysis.Normed.Field.Ultra` `Mathlib.Analysis.Normed.Field.UnitBall` `Mathlib.Analysis.Normed.Group.AddCircle` `Mathlib.Analysis.Normed.Group.AddTorsor` `Mathlib.Analysis.Normed.Group.BallSphere` `Mathlib.Analysis.Normed.Group.Basic` `Mathlib.Analysis.Normed.Group.Bounded` `Mathlib.Analysis.Normed.Group.CocompactMap` `Mathlib.Analysis.Normed.Group.Completeness` `Mathlib.Analysis.Normed.Group.Completion` `Mathlib.Analysis.Normed.Group.Constructions` `Mathlib.Analysis.Normed.Group.Continuity` `Mathlib.Analysis.Normed.Group.ControlledClosure` `Mathlib.Analysis.Normed.Group.HomCompletion` `Mathlib.Analysis.Normed.Group.Hom` `Mathlib.Analysis.Normed.Group.InfiniteSum` `Mathlib.Analysis.Normed.Group.Int` `Mathlib.Analysis.Normed.Group.Lemmas` `Mathlib.Analysis.Normed.Group.NullSubmodule` `Mathlib.Analysis.Normed.Group.Pointwise` `Mathlib.Analysis.Normed.Group.Quotient` `Mathlib.Analysis.Normed.Group.Rat` `Mathlib.Analysis.Normed.Group.SemiNormedGrp.Completion` `Mathlib.Analysis.Normed.Group.SemiNormedGrp.Kernels` `Mathlib.Analysis.Normed.Group.SemiNormedGrp` `Mathlib.Analysis.Normed.Group.Seminorm` `Mathlib.Analysis.Normed.Group.SeparationQuotient` `Mathlib.Analysis.Normed.Group.Subgroup` `Mathlib.Analysis.Normed.Group.Submodule` `Mathlib.Analysis.Normed.Group.Tannery` `Mathlib.Analysis.Normed.Group.Ultra` `Mathlib.Analysis.Normed.Group.Uniform` `Mathlib.Analysis.Normed.Group.ZeroAtInfty` `Mathlib.Analysis.Normed.Lp.LpEquiv` `Mathlib.Analysis.Normed.Lp.PiLp` `Mathlib.Analysis.Normed.Lp.ProdLp` `Mathlib.Analysis.Normed.Lp.WithLp` `Mathlib.Analysis.Normed.Lp.lpSpace` `Mathlib.Analysis.Normed.Module.Basic` `Mathlib.Analysis.Normed.Module.Complemented` `Mathlib.Analysis.Normed.Module.Completion` `Mathlib.Analysis.Normed.Module.Convex` `Mathlib.Analysis.Normed.Module.Dual` `Mathlib.Analysis.Normed.Module.FiniteDimension` `Mathlib.Analysis.Normed.Module.Ray` `Mathlib.Analysis.Normed.Module.Span` `Mathlib.Analysis.Normed.Module.WeakDual` `Mathlib.Analysis.Normed.MulAction` `Mathlib.Analysis.Normed.Operator.BanachSteinhaus` `Mathlib.Analysis.Normed.Operator.Banach` `Mathlib.Analysis.Normed.Operator.BoundedLinearMaps` `Mathlib.Analysis.Normed.Operator.Compact` `Mathlib.Analysis.Normed.Operator.ContinuousLinearMap` `Mathlib.Analysis.Normed.Operator.LinearIsometry` `Mathlib.Analysis.Normed.Order.Basic` `Mathlib.Analysis.Normed.Order.Hom.Basic` `Mathlib.Analysis.Normed.Order.Hom.Ultra` `Mathlib.Analysis.Normed.Order.Lattice` `Mathlib.Analysis.Normed.Order.UpperLower` `Mathlib.Analysis.Normed.Ring.IsPowMulFaithful` `Mathlib.Analysis.Normed.Ring.SeminormFromBounded` `Mathlib.Analysis.Normed.Ring.SeminormFromConst` `Mathlib.Analysis.Normed.Ring.Seminorm` `Mathlib.Analysis.Normed.Ring.SmoothingSeminorm` `Mathlib.Analysis.Normed.Ring.Ultra` `Mathlib.Analysis.Normed.Ring.Units` `Mathlib.Analysis.Normed.Ring.WithAbs` `Mathlib.Analysis.NormedSpace.BallAction` `Mathlib.Analysis.NormedSpace.ConformalLinearMap` `Mathlib.Analysis.NormedSpace.Connected` `Mathlib.Analysis.NormedSpace.DualNumber` `Mathlib.Analysis.NormedSpace.ENormedSpace` `Mathlib.Analysis.NormedSpace.Extend` `Mathlib.Analysis.NormedSpace.Extr` `Mathlib.Analysis.NormedSpace.FunctionSeries` `Mathlib.Analysis.NormedSpace.HahnBanach.Extension` `Mathlib.Analysis.NormedSpace.HahnBanach.SeparatingDual` `Mathlib.Analysis.NormedSpace.HahnBanach.Separation` `Mathlib.Analysis.NormedSpace.HomeomorphBall` `Mathlib.Analysis.NormedSpace.IndicatorFunction` `Mathlib.Analysis.NormedSpace.Int` `Mathlib.Analysis.NormedSpace.MStructure` `Mathlib.Analysis.NormedSpace.Multilinear.Basic` `Mathlib.Analysis.NormedSpace.Multilinear.Curry` `Mathlib.Analysis.NormedSpace.OperatorNorm.Asymptotics` `Mathlib.Analysis.NormedSpace.OperatorNorm.Basic` `Mathlib.Analysis.NormedSpace.OperatorNorm.Bilinear` `Mathlib.Analysis.NormedSpace.OperatorNorm.Completeness` `Mathlib.Analysis.NormedSpace.OperatorNorm.Mul` `Mathlib.Analysis.NormedSpace.OperatorNorm.NNNorm` `Mathlib.Analysis.NormedSpace.OperatorNorm.NormedSpace` `Mathlib.Analysis.NormedSpace.OperatorNorm.Prod` `Mathlib.Analysis.NormedSpace.PiTensorProduct.InjectiveSeminorm` `Mathlib.Analysis.NormedSpace.PiTensorProduct.ProjectiveSeminorm` `Mathlib.Analysis.NormedSpace.Pointwise` `Mathlib.Analysis.NormedSpace.RCLike` `Mathlib.Analysis.NormedSpace.Real` `Mathlib.Analysis.NormedSpace.RieszLemma` `Mathlib.Analysis.NormedSpace.SphereNormEquiv` `Mathlib.Analysis.ODE.Gronwall` `Mathlib.Analysis.ODE.PicardLindelof` `Mathlib.Analysis.Oscillation` `Mathlib.Analysis.PSeriesComplex` `Mathlib.Analysis.PSeries` `Mathlib.Analysis.Polynomial.Basic` `Mathlib.Analysis.Polynomial.CauchyBound` `Mathlib.Analysis.Quaternion` `Mathlib.Analysis.RCLike.Basic` `Mathlib.Analysis.RCLike.Inner` `Mathlib.Analysis.RCLike.Lemmas` `Mathlib.Analysis.Seminorm` `Mathlib.Analysis.SpecialFunctions.Arsinh` `Mathlib.Analysis.SpecialFunctions.Bernstein` `Mathlib.Analysis.SpecialFunctions.BinaryEntropy` `Mathlib.Analysis.SpecialFunctions.Choose` `Mathlib.Analysis.SpecialFunctions.CompareExp` `Mathlib.Analysis.SpecialFunctions.Complex.Analytic` `Mathlib.Analysis.SpecialFunctions.Complex.Arctan` `Mathlib.Analysis.SpecialFunctions.Complex.Arg` `Mathlib.Analysis.SpecialFunctions.Complex.CircleAddChar` `Mathlib.Analysis.SpecialFunctions.Complex.Circle` `Mathlib.Analysis.SpecialFunctions.Complex.LogBounds` `Mathlib.Analysis.SpecialFunctions.Complex.LogDeriv` `Mathlib.Analysis.SpecialFunctions.Complex.Log` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Isometric` `Mathlib.Analysis.SpecialFunctions.ExpDeriv` `Mathlib.Analysis.SpecialFunctions.Exp` `Mathlib.Analysis.SpecialFunctions.Exponential` `Mathlib.Analysis.SpecialFunctions.Gamma.Basic` `Mathlib.Analysis.SpecialFunctions.Gamma.Beta` `Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup` `Mathlib.Analysis.SpecialFunctions.Gamma.Deligne` `Mathlib.Analysis.SpecialFunctions.Gamma.Deriv` `Mathlib.Analysis.SpecialFunctions.Gaussian.FourierTransform` `Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral` `Mathlib.Analysis.SpecialFunctions.Gaussian.PoissonSummation` `Mathlib.Analysis.SpecialFunctions.ImproperIntegrals` `Mathlib.Analysis.SpecialFunctions.Integrals` `Mathlib.Analysis.SpecialFunctions.JapaneseBracket` `Mathlib.Analysis.SpecialFunctions.Log.Base` `Mathlib.Analysis.SpecialFunctions.Log.Basic` `Mathlib.Analysis.SpecialFunctions.Log.Deriv` `Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp` `Mathlib.Analysis.SpecialFunctions.Log.ENNRealLog` `Mathlib.Analysis.SpecialFunctions.Log.ERealExp` `Mathlib.Analysis.SpecialFunctions.Log.Monotone` `Mathlib.Analysis.SpecialFunctions.Log.NegMulLog` `Mathlib.Analysis.SpecialFunctions.Log.PosLog` `Mathlib.Analysis.SpecialFunctions.Log.Summable` `Mathlib.Analysis.SpecialFunctions.MulExpNegMulSqIntegral` `Mathlib.Analysis.SpecialFunctions.MulExpNegMulSq` `Mathlib.Analysis.SpecialFunctions.NonIntegrable` `Mathlib.Analysis.SpecialFunctions.OrdinaryHypergeometric` `Mathlib.Analysis.SpecialFunctions.PolarCoord` `Mathlib.Analysis.SpecialFunctions.PolynomialExp` `Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics` `Mathlib.Analysis.SpecialFunctions.Pow.Complex` `Mathlib.Analysis.SpecialFunctions.Pow.Continuity` `Mathlib.Analysis.SpecialFunctions.Pow.Deriv` `Mathlib.Analysis.SpecialFunctions.Pow.Integral` `Mathlib.Analysis.SpecialFunctions.Pow.NNReal` `Mathlib.Analysis.SpecialFunctions.Pow.Real` `Mathlib.Analysis.SpecialFunctions.SmoothTransition` `Mathlib.Analysis.SpecialFunctions.Sqrt` `Mathlib.Analysis.SpecialFunctions.Stirling` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle` `Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Arctan` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Bounds` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev` `Mathlib.Analysis.SpecialFunctions.Trigonometric.ComplexDeriv` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Complex` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv` `Mathlib.Analysis.SpecialFunctions.Trigonometric.EulerSineProd` `Mathlib.Analysis.SpecialFunctions.Trigonometric.InverseDeriv` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Series` `Mathlib.Analysis.SpecificLimits.Basic` `Mathlib.Analysis.SpecificLimits.FloorPow` `Mathlib.Analysis.SpecificLimits.Normed` `Mathlib.Analysis.SpecificLimits.RCLike` `Mathlib.Analysis.Subadditive` `Mathlib.Analysis.SumIntegralComparisons` `Mathlib.Analysis.SumOverResidueClass` `Mathlib.Analysis.VonNeumannAlgebra.Basic` `Mathlib.CategoryTheory.Abelian.Projective.Dimension` `Mathlib.CategoryTheory.Galois.EssSurj` `Mathlib.CategoryTheory.Galois.IsFundamentalgroup` `Mathlib.CategoryTheory.Galois.Topology` `Mathlib.CategoryTheory.Localization.Triangulated` `Mathlib.CategoryTheory.Preadditive.HomOrthogonal` `Mathlib.CategoryTheory.Preadditive.Schur` `Mathlib.CategoryTheory.Sites.SheafCohomology.Basic` `Mathlib.CategoryTheory.Triangulated.Adjunction` `Mathlib.CategoryTheory.Triangulated.Functor` `Mathlib.CategoryTheory.Triangulated.HomologicalFunctor` `Mathlib.CategoryTheory.Triangulated.Opposite.Functor` `Mathlib.CategoryTheory.Triangulated.Opposite.Pretriangulated` `Mathlib.CategoryTheory.Triangulated.Pretriangulated` `Mathlib.CategoryTheory.Triangulated.Subcategory` `Mathlib.CategoryTheory.Triangulated.TStructure.Basic` `Mathlib.CategoryTheory.Triangulated.TriangleShift` `Mathlib.CategoryTheory.Triangulated.Triangulated` `Mathlib.CategoryTheory.Triangulated.Yoneda` `Mathlib.Combinatorics.Additive.AP.Three.Behrend` `Mathlib.Combinatorics.Additive.ApproximateSubgroup` `Mathlib.Combinatorics.Additive.CauchyDavenport` `Mathlib.Combinatorics.Additive.Corner.Roth` `Mathlib.Combinatorics.Additive.CovBySMul` `Mathlib.Combinatorics.Additive.Energy` `Mathlib.Combinatorics.Additive.ErdosGinzburgZiv` `Mathlib.Combinatorics.Additive.Randomisation` `Mathlib.Combinatorics.Additive.RuzsaCovering` `Mathlib.Combinatorics.Additive.SmallTripling` `Mathlib.Combinatorics.Colex` `Mathlib.Combinatorics.Configuration` `Mathlib.Combinatorics.Derangements.Basic` `Mathlib.Combinatorics.Derangements.Exponential` `Mathlib.Combinatorics.Derangements.Finite` `Mathlib.Combinatorics.Enumerative.Bell` `Mathlib.Combinatorics.Extremal.RuzsaSzemeredi` `Mathlib.Combinatorics.Schnirelmann` `Mathlib.Combinatorics.SetFamily.AhlswedeZhang` `Mathlib.Combinatorics.SetFamily.KruskalKatona` `Mathlib.Combinatorics.SetFamily.LYM` `Mathlib.Combinatorics.SimpleGraph.DegreeSum` `Mathlib.Combinatorics.SimpleGraph.Density` `Mathlib.Combinatorics.SimpleGraph.LapMatrix` `Mathlib.Combinatorics.SimpleGraph.Matching` `Mathlib.Combinatorics.SimpleGraph.Regularity.Bound` `Mathlib.Combinatorics.SimpleGraph.Regularity.Chunk` `Mathlib.Combinatorics.SimpleGraph.Regularity.Energy` `Mathlib.Combinatorics.SimpleGraph.Regularity.Increment` `Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma` `Mathlib.Combinatorics.SimpleGraph.Regularity.Uniform` `Mathlib.Combinatorics.SimpleGraph.Triangle.Basic` `Mathlib.Combinatorics.SimpleGraph.Triangle.Counting` `Mathlib.Combinatorics.SimpleGraph.Triangle.Removal` `Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite` `Mathlib.Combinatorics.SimpleGraph.UniversalVerts` `Mathlib.Computability.AkraBazzi.AkraBazzi` `Mathlib.Computability.AkraBazzi.GrowsPolynomially` `Mathlib.Condensed.AB` `Mathlib.Condensed.Basic` `Mathlib.Condensed.CartesianClosed` `Mathlib.Condensed.Discrete.Basic` `Mathlib.Condensed.Discrete.Characterization` `Mathlib.Condensed.Discrete.Colimit` `Mathlib.Condensed.Discrete.LocallyConstant` `Mathlib.Condensed.Discrete.Module` `Mathlib.Condensed.Epi` `Mathlib.Condensed.Equivalence` `Mathlib.Condensed.Explicit` `Mathlib.Condensed.Functors` `Mathlib.Condensed.Light.AB` `Mathlib.Condensed.Light.Basic` `Mathlib.Condensed.Light.CartesianClosed` `Mathlib.Condensed.Light.Epi` `Mathlib.Condensed.Light.Explicit` `Mathlib.Condensed.Light.Functors` `Mathlib.Condensed.Light.Limits` `Mathlib.Condensed.Light.Module` `Mathlib.Condensed.Light.TopCatAdjunction` `Mathlib.Condensed.Light.TopComparison` `Mathlib.Condensed.Limits` `Mathlib.Condensed.Module` `Mathlib.Condensed.Solid` `Mathlib.Condensed.TopCatAdjunction` `Mathlib.Condensed.TopComparison` `Mathlib.Data.Complex.Basic` `Mathlib.Data.Complex.BigOperators` `Mathlib.Data.Complex.Cardinality` `Mathlib.Data.Complex.Determinant` `Mathlib.Data.Complex.ExponentialBounds` `Mathlib.Data.Complex.Exponential` `Mathlib.Data.Complex.FiniteDimensional` `Mathlib.Data.Complex.Module` `Mathlib.Data.Complex.Norm` `Mathlib.Data.Complex.Order` `Mathlib.Data.Complex.Orientation` `Mathlib.Data.Complex.Trigonometric` `Mathlib.Data.ENNReal.Action` `Mathlib.Data.ENNReal.Basic` `Mathlib.Data.ENNReal.Holder` `Mathlib.Data.ENNReal.Inv` `Mathlib.Data.ENNReal.Lemmas` `Mathlib.Data.ENNReal.Operations` `Mathlib.Data.ENNReal.Order` `Mathlib.Data.ENNReal.Real` `Mathlib.Data.Fintype.Units` `Mathlib.Data.Int.AbsoluteValue` `Mathlib.Data.Int.CardIntervalMod` `Mathlib.Data.Int.Lemmas` `Mathlib.Data.Int.Log` `Mathlib.Data.Int.Order.Lemmas` `Mathlib.Data.Int.Order.Units` `Mathlib.Data.Int.WithZero` `Mathlib.Data.Matrix.ColumnRowPartitioned` `Mathlib.Data.Matrix.DoublyStochastic` `Mathlib.Data.Matrix.Kronecker` `Mathlib.Data.Matrix.Rank` `Mathlib.Data.NNRat.BigOperators` `Mathlib.Data.NNRat.Floor` `Mathlib.Data.NNReal.Basic` `Mathlib.Data.NNReal.Defs` `Mathlib.Data.NNReal.Star` `Mathlib.Data.Nat.Cast.Order.Field` `Mathlib.Data.Nat.Choose.Factorization` `Mathlib.Data.Nat.Choose.Lucas` `Mathlib.Data.Nat.Choose.Multinomial` `Mathlib.Data.Nat.Factorial.BigOperators` `Mathlib.Data.Nat.Factorial.SuperFactorial` `Mathlib.Data.Nat.Multiplicity` `Mathlib.Data.Nat.Periodic` `Mathlib.Data.Nat.Squarefree` `Mathlib.Data.Nat.Totient` `Mathlib.Data.Rat.Floor` `Mathlib.Data.Rat.Sqrt` `Mathlib.Data.Rat.Star` `Mathlib.Data.Real.Archimedean` `Mathlib.Data.Real.Basic` `Mathlib.Data.Real.Cardinality` `Mathlib.Data.Real.CompleteField` `Mathlib.Data.Real.ConjExponents` `Mathlib.Data.Real.ENatENNReal` `Mathlib.Data.Real.EReal` `Mathlib.Data.Real.GoldenRatio` `Mathlib.Data.Real.Hyperreal` `Mathlib.Data.Real.Irrational` `Mathlib.Data.Real.IsNonarchimedean` `Mathlib.Data.Real.Pi.Bounds` `Mathlib.Data.Real.Pi.Irrational` `Mathlib.Data.Real.Pi.Leibniz` `Mathlib.Data.Real.Pi.Wallis` `Mathlib.Data.Real.Pointwise` `Mathlib.Data.Real.Sign` `Mathlib.Data.Real.Sqrt` `Mathlib.Data.Real.StarOrdered` `Mathlib.Data.Real.Star` `Mathlib.Data.ZMod.Aut` `Mathlib.Data.ZMod.Basic` `Mathlib.Data.ZMod.Coprime` `Mathlib.Data.ZMod.Factorial` `Mathlib.Data.ZMod.IntUnitsPower` `Mathlib.Data.ZMod.QuotientGroup` `Mathlib.Data.ZMod.QuotientRing` `Mathlib.Data.ZMod.Units` `Mathlib.Data.ZMod.ValMinAbs` `Mathlib.Dynamics.BirkhoffSum.NormedSpace` `Mathlib.Dynamics.Circle.RotationNumber.TranslationNumber` `Mathlib.Dynamics.Ergodic.Action.Basic` `Mathlib.Dynamics.Ergodic.Action.OfMinimal` `Mathlib.Dynamics.Ergodic.Action.Regular` `Mathlib.Dynamics.Ergodic.AddCircle` `Mathlib.Dynamics.Ergodic.Conservative` `Mathlib.Dynamics.Ergodic.Ergodic` `Mathlib.Dynamics.Ergodic.Function` `Mathlib.Dynamics.Ergodic.MeasurePreserving` `Mathlib.Dynamics.Flow` `Mathlib.Dynamics.Newton` `Mathlib.Dynamics.OmegaLimit` `Mathlib.Dynamics.TopologicalEntropy.CoverEntropy` `Mathlib.Dynamics.TopologicalEntropy.NetEntropy` `Mathlib.Dynamics.TopologicalEntropy.Semiconj` `Mathlib.FieldTheory.AbelRuffini` `Mathlib.FieldTheory.AbsoluteGaloisGroup` `Mathlib.FieldTheory.AlgebraicClosure` `Mathlib.FieldTheory.AxGrothendieck` `Mathlib.FieldTheory.CardinalEmb` `Mathlib.FieldTheory.Cardinality` `Mathlib.FieldTheory.ChevalleyWarning` `Mathlib.FieldTheory.Differential.Basic` `Mathlib.FieldTheory.Differential.Liouville` `Mathlib.FieldTheory.Extension` `Mathlib.FieldTheory.Finite.Basic` `Mathlib.FieldTheory.Finite.GaloisField` `Mathlib.FieldTheory.Finite.Polynomial` `Mathlib.FieldTheory.Finite.Trace` `Mathlib.FieldTheory.Fixed` `Mathlib.FieldTheory.Galois.Basic` `Mathlib.FieldTheory.Galois.GaloisClosure` `Mathlib.FieldTheory.Galois.Infinite` `Mathlib.FieldTheory.Galois.Profinite` `Mathlib.FieldTheory.IntermediateField.Adjoin.Algebra` `Mathlib.FieldTheory.IntermediateField.Adjoin.Basic` `Mathlib.FieldTheory.IntermediateField.Algebraic` `Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure` `Mathlib.FieldTheory.IsAlgClosed.Basic` `Mathlib.FieldTheory.IsAlgClosed.Classification` `Mathlib.FieldTheory.IsAlgClosed.Spectrum` `Mathlib.FieldTheory.IsPerfectClosure` `Mathlib.FieldTheory.IsSepClosed` `Mathlib.FieldTheory.Isaacs` `Mathlib.FieldTheory.JacobsonNoether` `Mathlib.FieldTheory.KrullTopology` `Mathlib.FieldTheory.KummerExtension` `Mathlib.FieldTheory.KummerPolynomial` `Mathlib.FieldTheory.Laurent` `Mathlib.FieldTheory.LinearDisjoint` `Mathlib.FieldTheory.Minpoly.Basic` `Mathlib.FieldTheory.Minpoly.Field` `Mathlib.FieldTheory.Minpoly.IsConjRoot` `Mathlib.FieldTheory.Minpoly.IsIntegrallyClosed` `Mathlib.FieldTheory.Minpoly.MinpolyDiv` `Mathlib.FieldTheory.MvRatFunc.Rank` `Mathlib.FieldTheory.Normal.Basic` `Mathlib.FieldTheory.Normal.Closure` `Mathlib.FieldTheory.Normal.Defs` `Mathlib.FieldTheory.PerfectClosure` `Mathlib.FieldTheory.Perfect` `Mathlib.FieldTheory.PolynomialGaloisGroup` `Mathlib.FieldTheory.PrimitiveElement` `Mathlib.FieldTheory.PurelyInseparable.Basic` `Mathlib.FieldTheory.PurelyInseparable.PerfectClosure` `Mathlib.FieldTheory.PurelyInseparable.Tower` `Mathlib.FieldTheory.RatFunc.AsPolynomial` `Mathlib.FieldTheory.RatFunc.Degree` `Mathlib.FieldTheory.Relrank` `Mathlib.FieldTheory.SeparableClosure` `Mathlib.FieldTheory.SeparableDegree` `Mathlib.FieldTheory.Separable` `Mathlib.FieldTheory.SplittingField.Construction` `Mathlib.FieldTheory.SplittingField.IsSplittingField` `Mathlib.Geometry.Euclidean.Angle.Oriented.Affine` `Mathlib.Geometry.Euclidean.Angle.Oriented.Basic` `Mathlib.Geometry.Euclidean.Angle.Oriented.RightAngle` `Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation` `Mathlib.Geometry.Euclidean.Angle.Sphere` `Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine` `Mathlib.Geometry.Euclidean.Angle.Unoriented.Basic` `Mathlib.Geometry.Euclidean.Angle.Unoriented.Conformal` `Mathlib.Geometry.Euclidean.Angle.Unoriented.CrossProduct` `Mathlib.Geometry.Euclidean.Angle.Unoriented.RightAngle` `Mathlib.Geometry.Euclidean.Basic` `Mathlib.Geometry.Euclidean.Circumcenter` `Mathlib.Geometry.Euclidean.Inversion.Basic` `Mathlib.Geometry.Euclidean.Inversion.Calculus` `Mathlib.Geometry.Euclidean.Inversion.ImageHyperplane` `Mathlib.Geometry.Euclidean.MongePoint` `Mathlib.Geometry.Euclidean.PerpBisector` `Mathlib.Geometry.Euclidean.Sphere.Basic` `Mathlib.Geometry.Euclidean.Sphere.Power` `Mathlib.Geometry.Euclidean.Sphere.Ptolemy` `Mathlib.Geometry.Euclidean.Sphere.SecondInter` `Mathlib.Geometry.Euclidean.Triangle` `Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation` `Mathlib.Geometry.Manifold.Algebra.LieGroup` `Mathlib.Geometry.Manifold.Algebra.Monoid` `Mathlib.Geometry.Manifold.Algebra.SmoothFunctions` `Mathlib.Geometry.Manifold.Algebra.Structures` `Mathlib.Geometry.Manifold.AnalyticManifold` `Mathlib.Geometry.Manifold.BumpFunction` `Mathlib.Geometry.Manifold.ChartedSpace` `Mathlib.Geometry.Manifold.Complex` `Mathlib.Geometry.Manifold.ConformalGroupoid` `Mathlib.Geometry.Manifold.ContMDiff.Atlas` `Mathlib.Geometry.Manifold.ContMDiff.Basic` `Mathlib.Geometry.Manifold.ContMDiff.Constructions` `Mathlib.Geometry.Manifold.ContMDiff.Defs` `Mathlib.Geometry.Manifold.ContMDiff.NormedSpace` `Mathlib.Geometry.Manifold.ContMDiffMFDeriv` `Mathlib.Geometry.Manifold.ContMDiffMap` `Mathlib.Geometry.Manifold.DerivationBundle` `Mathlib.Geometry.Manifold.Diffeomorph` `Mathlib.Geometry.Manifold.Instances.Real` `Mathlib.Geometry.Manifold.Instances.Sphere` `Mathlib.Geometry.Manifold.Instances.UnitsOfNormedAlgebra` `Mathlib.Geometry.Manifold.IntegralCurve.Basic` `Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique` `Mathlib.Geometry.Manifold.IntegralCurve.Transform` `Mathlib.Geometry.Manifold.IntegralCurve.UniformTime` `Mathlib.Geometry.Manifold.IsManifold.Basic` `Mathlib.Geometry.Manifold.IsManifold.ExtChartAt` `Mathlib.Geometry.Manifold.IsManifold.InteriorBoundary` `Mathlib.Geometry.Manifold.LocalDiffeomorph` `Mathlib.Geometry.Manifold.LocalInvariantProperties` `Mathlib.Geometry.Manifold.MFDeriv.Atlas` `Mathlib.Geometry.Manifold.MFDeriv.Basic` `Mathlib.Geometry.Manifold.MFDeriv.Defs` `Mathlib.Geometry.Manifold.MFDeriv.FDeriv` `Mathlib.Geometry.Manifold.MFDeriv.NormedSpace` `Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions` `Mathlib.Geometry.Manifold.MFDeriv.Tangent` `Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential` `Mathlib.Geometry.Manifold.Metrizable` `Mathlib.Geometry.Manifold.PartitionOfUnity` `Mathlib.Geometry.Manifold.PoincareConjecture` `Mathlib.Geometry.Manifold.Sheaf.Basic` `Mathlib.Geometry.Manifold.Sheaf.LocallyRingedSpace` `Mathlib.Geometry.Manifold.Sheaf.Smooth` `Mathlib.Geometry.Manifold.VectorBundle.Basic` `Mathlib.Geometry.Manifold.VectorBundle.FiberwiseLinear` `Mathlib.Geometry.Manifold.VectorBundle.Hom` `Mathlib.Geometry.Manifold.VectorBundle.MDifferentiable` `Mathlib.Geometry.Manifold.VectorBundle.Pullback` `Mathlib.Geometry.Manifold.VectorBundle.SmoothSection` `Mathlib.Geometry.Manifold.VectorBundle.Tangent` `Mathlib.Geometry.Manifold.VectorField` `Mathlib.Geometry.Manifold.WhitneyEmbedding` `Mathlib.GroupTheory.ArchimedeanDensely` `Mathlib.GroupTheory.Archimedean` `Mathlib.GroupTheory.ClassEquation` `Mathlib.GroupTheory.CommutingProbability` `Mathlib.GroupTheory.Coxeter.Inversion` `Mathlib.GroupTheory.Coxeter.Length` `Mathlib.GroupTheory.Exponent` `Mathlib.GroupTheory.FiniteAbelian.Basic` `Mathlib.GroupTheory.FiniteAbelian.Duality` `Mathlib.GroupTheory.FixedPointFree` `Mathlib.GroupTheory.Frattini` `Mathlib.GroupTheory.GroupAction.CardCommute` `Mathlib.GroupTheory.GroupAction.Period` `Mathlib.GroupTheory.HNNExtension` `Mathlib.GroupTheory.Nilpotent` `Mathlib.GroupTheory.NoncommPiCoprod` `Mathlib.GroupTheory.Order.Min` `Mathlib.GroupTheory.OrderOfElement` `Mathlib.GroupTheory.PGroup` `Mathlib.GroupTheory.Perm.Centralizer` `Mathlib.GroupTheory.Perm.Closure` `Mathlib.GroupTheory.Perm.ConjAct` `Mathlib.GroupTheory.Perm.Cycle.Basic` `Mathlib.GroupTheory.Perm.Cycle.Concrete` `Mathlib.GroupTheory.Perm.Cycle.Factors` `Mathlib.GroupTheory.Perm.Cycle.PossibleTypes` `Mathlib.GroupTheory.Perm.Cycle.Type` `Mathlib.GroupTheory.Perm.Fin` `Mathlib.GroupTheory.Perm.Finite` `Mathlib.GroupTheory.Perm.Option` `Mathlib.GroupTheory.Perm.Sign` `Mathlib.GroupTheory.Schreier` `Mathlib.GroupTheory.SchurZassenhaus` `Mathlib.GroupTheory.SpecificGroups.Alternating` `Mathlib.GroupTheory.SpecificGroups.Cyclic` `Mathlib.GroupTheory.SpecificGroups.Dihedral` `Mathlib.GroupTheory.SpecificGroups.KleinFour` `Mathlib.GroupTheory.SpecificGroups.Quaternion` `Mathlib.GroupTheory.SpecificGroups.ZGroup` `Mathlib.GroupTheory.Sylow` `Mathlib.GroupTheory.Torsion` `Mathlib.GroupTheory.Transfer` `Mathlib.InformationTheory.Hamming` `Mathlib.LinearAlgebra.AffineSpace.AffineEquiv` `Mathlib.LinearAlgebra.AffineSpace.AffineMap` `Mathlib.LinearAlgebra.AffineSpace.AffineSubspace` `Mathlib.LinearAlgebra.AffineSpace.Basis` `Mathlib.LinearAlgebra.AffineSpace.Combination` `Mathlib.LinearAlgebra.AffineSpace.ContinuousAffineEquiv` `Mathlib.LinearAlgebra.AffineSpace.FiniteDimensional` `Mathlib.LinearAlgebra.AffineSpace.Independent` `Mathlib.LinearAlgebra.AffineSpace.Matrix` `Mathlib.LinearAlgebra.AffineSpace.MidpointZero` `Mathlib.LinearAlgebra.AffineSpace.Midpoint` `Mathlib.LinearAlgebra.AffineSpace.Ordered` `Mathlib.LinearAlgebra.AffineSpace.Pointwise` `Mathlib.LinearAlgebra.AffineSpace.Restrict` `Mathlib.LinearAlgebra.AffineSpace.Slope` `Mathlib.LinearAlgebra.Alternating.Basic` `Mathlib.LinearAlgebra.Alternating.DomCoprod` `Mathlib.LinearAlgebra.AnnihilatingPolynomial` `Mathlib.LinearAlgebra.Basis.Flag` `Mathlib.LinearAlgebra.BilinearForm.DualLattice` `Mathlib.LinearAlgebra.BilinearForm.Orthogonal` `Mathlib.LinearAlgebra.BilinearForm.Properties` `Mathlib.LinearAlgebra.BilinearForm.TensorProduct` `Mathlib.LinearAlgebra.Charpoly.BaseChange` `Mathlib.LinearAlgebra.Charpoly.Basic` `Mathlib.LinearAlgebra.Charpoly.ToMatrix` `Mathlib.LinearAlgebra.CliffordAlgebra.BaseChange` `Mathlib.LinearAlgebra.CliffordAlgebra.Basic` `Mathlib.LinearAlgebra.CliffordAlgebra.CategoryTheory` `Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation` `Mathlib.LinearAlgebra.CliffordAlgebra.Contraction` `Mathlib.LinearAlgebra.CliffordAlgebra.Equivs` `Mathlib.LinearAlgebra.CliffordAlgebra.EvenEquiv` `Mathlib.LinearAlgebra.CliffordAlgebra.Even` `Mathlib.LinearAlgebra.CliffordAlgebra.Fold` `Mathlib.LinearAlgebra.CliffordAlgebra.Grading` `Mathlib.LinearAlgebra.CliffordAlgebra.Inversion` `Mathlib.LinearAlgebra.CliffordAlgebra.Prod` `Mathlib.LinearAlgebra.CliffordAlgebra.SpinGroup` `Mathlib.LinearAlgebra.CliffordAlgebra.Star` `Mathlib.LinearAlgebra.Coevaluation` `Mathlib.LinearAlgebra.Contraction` `Mathlib.LinearAlgebra.CrossProduct` `Mathlib.LinearAlgebra.Determinant` `Mathlib.LinearAlgebra.Dimension.Torsion.Basic` `Mathlib.LinearAlgebra.Dimension.Torsion.Finite` `Mathlib.LinearAlgebra.Dual` `Mathlib.LinearAlgebra.Eigenspace.Basic` `Mathlib.LinearAlgebra.Eigenspace.Matrix` `Mathlib.LinearAlgebra.Eigenspace.Minpoly` `Mathlib.LinearAlgebra.Eigenspace.Pi` `Mathlib.LinearAlgebra.Eigenspace.Semisimple` `Mathlib.LinearAlgebra.Eigenspace.Triangularizable` `Mathlib.LinearAlgebra.Eigenspace.Zero` `Mathlib.LinearAlgebra.ExteriorAlgebra.Basic` `Mathlib.LinearAlgebra.ExteriorAlgebra.Grading` `Mathlib.LinearAlgebra.ExteriorAlgebra.OfAlternating` `Mathlib.LinearAlgebra.ExteriorPower.Basic` `Mathlib.LinearAlgebra.ExteriorPower.Pairing` `Mathlib.LinearAlgebra.FiniteSpan` `Mathlib.LinearAlgebra.FreeAlgebra` `Mathlib.LinearAlgebra.FreeModule.Determinant` `Mathlib.LinearAlgebra.FreeModule.Finite.Matrix` `Mathlib.LinearAlgebra.FreeModule.IdealQuotient` `Mathlib.LinearAlgebra.FreeModule.Int` `Mathlib.LinearAlgebra.FreeModule.Norm` `Mathlib.LinearAlgebra.FreeModule.StrongRankCondition` `Mathlib.LinearAlgebra.FreeProduct.Basic` `Mathlib.LinearAlgebra.JordanChevalley` `Mathlib.LinearAlgebra.Lagrange` `Mathlib.LinearAlgebra.LinearDisjoint` `Mathlib.LinearAlgebra.Matrix.AbsoluteValue` `Mathlib.LinearAlgebra.Matrix.Adjugate` `Mathlib.LinearAlgebra.Matrix.BaseChange` `Mathlib.LinearAlgebra.Matrix.Basis` `Mathlib.LinearAlgebra.Matrix.BilinearForm` `Mathlib.LinearAlgebra.Matrix.Block` `Mathlib.LinearAlgebra.Matrix.Charpoly.Basic` `Mathlib.LinearAlgebra.Matrix.Charpoly.Coeff` `Mathlib.LinearAlgebra.Matrix.Charpoly.Eigs` `Mathlib.LinearAlgebra.Matrix.Charpoly.FiniteField` `Mathlib.LinearAlgebra.Matrix.Charpoly.LinearMap` `Mathlib.LinearAlgebra.Matrix.Charpoly.Minpoly` `Mathlib.LinearAlgebra.Matrix.Charpoly.Univ` `Mathlib.LinearAlgebra.Matrix.Determinant.Basic` `Mathlib.LinearAlgebra.Matrix.Determinant.Misc` `Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular` `Mathlib.LinearAlgebra.Matrix.Dual` `Mathlib.LinearAlgebra.Matrix.FiniteDimensional` `Mathlib.LinearAlgebra.Matrix.FixedDetMatrices` `Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Basic` `Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Card` `Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs` `Mathlib.LinearAlgebra.Matrix.Gershgorin` `Mathlib.LinearAlgebra.Matrix.HermitianFunctionalCalculus` `Mathlib.LinearAlgebra.Matrix.Hermitian` `Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber` `Mathlib.LinearAlgebra.Matrix.IsDiag` `Mathlib.LinearAlgebra.Matrix.LDL` `Mathlib.LinearAlgebra.Matrix.MvPolynomial` `Mathlib.LinearAlgebra.Matrix.Nondegenerate` `Mathlib.LinearAlgebra.Matrix.NonsingularInverse` `Mathlib.LinearAlgebra.Matrix.Permutation` `Mathlib.LinearAlgebra.Matrix.Polynomial` `Mathlib.LinearAlgebra.Matrix.PosDef` `Mathlib.LinearAlgebra.Matrix.ProjectiveSpecialLinearGroup` `Mathlib.LinearAlgebra.Matrix.Reindex` `Mathlib.LinearAlgebra.Matrix.SchurComplement` `Mathlib.LinearAlgebra.Matrix.SemiringInverse` `Mathlib.LinearAlgebra.Matrix.SesquilinearForm` `Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup` `Mathlib.LinearAlgebra.Matrix.Spectrum` `Mathlib.LinearAlgebra.Matrix.Swap` `Mathlib.LinearAlgebra.Matrix.ToLinearEquiv` `Mathlib.LinearAlgebra.Matrix.Transvection` `Mathlib.LinearAlgebra.Matrix.ZPow` `Mathlib.LinearAlgebra.Multilinear.Basic` `Mathlib.LinearAlgebra.Multilinear.Basis` `Mathlib.LinearAlgebra.Multilinear.DFinsupp` `Mathlib.LinearAlgebra.Multilinear.FiniteDimensional` `Mathlib.LinearAlgebra.Multilinear.Pi` `Mathlib.LinearAlgebra.Multilinear.TensorProduct` `Mathlib.LinearAlgebra.Orientation` `Mathlib.LinearAlgebra.PID` `Mathlib.LinearAlgebra.PerfectPairing.Basic` `Mathlib.LinearAlgebra.PerfectPairing.Restrict` `Mathlib.LinearAlgebra.PiTensorProduct` `Mathlib.LinearAlgebra.Projectivization.Cardinality` `Mathlib.LinearAlgebra.Projectivization.Constructions` `Mathlib.LinearAlgebra.QuadraticForm.Basic` `Mathlib.LinearAlgebra.QuadraticForm.Basis` `Mathlib.LinearAlgebra.QuadraticForm.Complex` `Mathlib.LinearAlgebra.QuadraticForm.Dual` `Mathlib.LinearAlgebra.QuadraticForm.IsometryEquiv` `Mathlib.LinearAlgebra.QuadraticForm.Isometry` `Mathlib.LinearAlgebra.QuadraticForm.Prod` `Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Monoidal` `Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Symmetric` `Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat` `Mathlib.LinearAlgebra.QuadraticForm.Real` `Mathlib.LinearAlgebra.QuadraticForm.TensorProduct.Isometries` `Mathlib.LinearAlgebra.QuadraticForm.TensorProduct` `Mathlib.LinearAlgebra.Reflection` `Mathlib.LinearAlgebra.RootSystem.BaseChange` `Mathlib.LinearAlgebra.RootSystem.Base` `Mathlib.LinearAlgebra.RootSystem.Basic` `Mathlib.LinearAlgebra.RootSystem.CartanMatrix` `Mathlib.LinearAlgebra.RootSystem.Defs` `Mathlib.LinearAlgebra.RootSystem.Finite.CanonicalBilinear` `Mathlib.LinearAlgebra.RootSystem.Finite.Lemmas` `Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate` `Mathlib.LinearAlgebra.RootSystem.Hom` `Mathlib.LinearAlgebra.RootSystem.OfBilinear` `Mathlib.LinearAlgebra.RootSystem.Reduced` `Mathlib.LinearAlgebra.RootSystem.RootPairingCat` `Mathlib.LinearAlgebra.RootSystem.RootPositive` `Mathlib.LinearAlgebra.RootSystem.WeylGroup` `Mathlib.LinearAlgebra.Semisimple` `Mathlib.LinearAlgebra.SymplecticGroup` `Mathlib.LinearAlgebra.TensorAlgebra.Basic` `Mathlib.LinearAlgebra.TensorAlgebra.Basis` `Mathlib.LinearAlgebra.TensorAlgebra.Grading` `Mathlib.LinearAlgebra.TensorAlgebra.ToTensorPower` `Mathlib.LinearAlgebra.TensorPower.Basic` `Mathlib.LinearAlgebra.TensorPower.Pairing` `Mathlib.LinearAlgebra.TensorProduct.Graded.External` `Mathlib.LinearAlgebra.TensorProduct.Graded.Internal` `Mathlib.LinearAlgebra.TensorProduct.Matrix` `Mathlib.LinearAlgebra.Trace` `Mathlib.LinearAlgebra.UnitaryGroup` `Mathlib.LinearAlgebra.Vandermonde` `Mathlib.Logic.Equiv.Fintype` `Mathlib.MeasureTheory.Category.MeasCat` `Mathlib.MeasureTheory.Constructions.BorelSpace.Basic` `Mathlib.MeasureTheory.Constructions.BorelSpace.Complex` `Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap` `Mathlib.MeasureTheory.Constructions.BorelSpace.Metric` `Mathlib.MeasureTheory.Constructions.BorelSpace.Metrizable` `Mathlib.MeasureTheory.Constructions.BorelSpace.Order` `Mathlib.MeasureTheory.Constructions.BorelSpace.Real` `Mathlib.MeasureTheory.Constructions.HaarToSphere` `Mathlib.MeasureTheory.Constructions.Pi` `Mathlib.MeasureTheory.Constructions.Polish.Basic` `Mathlib.MeasureTheory.Constructions.Polish.EmbeddingReal` `Mathlib.MeasureTheory.Constructions.Projective` `Mathlib.MeasureTheory.Constructions.UnitInterval` `Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace` `Mathlib.MeasureTheory.Covering.Besicovitch` `Mathlib.MeasureTheory.Covering.DensityTheorem` `Mathlib.MeasureTheory.Covering.Differentiation` `Mathlib.MeasureTheory.Covering.LiminfLimsup` `Mathlib.MeasureTheory.Covering.OneDim` `Mathlib.MeasureTheory.Covering.VitaliFamily` `Mathlib.MeasureTheory.Covering.Vitali` `Mathlib.MeasureTheory.Decomposition.Exhaustion` `Mathlib.MeasureTheory.Decomposition.IntegralRNDeriv` `Mathlib.MeasureTheory.Decomposition.Jordan` `Mathlib.MeasureTheory.Decomposition.Lebesgue` `Mathlib.MeasureTheory.Decomposition.RadonNikodym` `Mathlib.MeasureTheory.Decomposition.SignedHahn` `Mathlib.MeasureTheory.Decomposition.SignedLebesgue` `Mathlib.MeasureTheory.Decomposition.UnsignedHahn` `Mathlib.MeasureTheory.Function.AEEqFun.DomAct` `Mathlib.MeasureTheory.Function.AEEqFun` `Mathlib.MeasureTheory.Function.AEEqOfIntegral` `Mathlib.MeasureTheory.Function.AEEqOfLIntegral` `Mathlib.MeasureTheory.Function.AEMeasurableOrder` `Mathlib.MeasureTheory.Function.AEMeasurableSequence` `Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic` `Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1` `Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Real` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique` `Mathlib.MeasureTheory.Function.ContinuousMapDense` `Mathlib.MeasureTheory.Function.ConvergenceInMeasure` `Mathlib.MeasureTheory.Function.Egorov` `Mathlib.MeasureTheory.Function.EssSup` `Mathlib.MeasureTheory.Function.Floor` `Mathlib.MeasureTheory.Function.Intersectivity` `Mathlib.MeasureTheory.Function.Jacobian` `Mathlib.MeasureTheory.Function.L1Space.AEEqFun` `Mathlib.MeasureTheory.Function.L1Space.HasFiniteIntegral` `Mathlib.MeasureTheory.Function.L1Space.Integrable` `Mathlib.MeasureTheory.Function.L2Space` `Mathlib.MeasureTheory.Function.LocallyIntegrable` `Mathlib.MeasureTheory.Function.LpOrder` `Mathlib.MeasureTheory.Function.LpSeminorm.Basic` `Mathlib.MeasureTheory.Function.LpSeminorm.ChebyshevMarkov` `Mathlib.MeasureTheory.Function.LpSeminorm.CompareExp` `Mathlib.MeasureTheory.Function.LpSeminorm.TriangleInequality` `Mathlib.MeasureTheory.Function.LpSeminorm.Trim` `Mathlib.MeasureTheory.Function.LpSpace.Basic` `Mathlib.MeasureTheory.Function.LpSpace.ContinuousCompMeasurePreserving` `Mathlib.MeasureTheory.Function.LpSpace.ContinuousFunctions` `Mathlib.MeasureTheory.Function.LpSpace.DomAct.Basic` `Mathlib.MeasureTheory.Function.LpSpace.DomAct.Continuous` `Mathlib.MeasureTheory.Function.SimpleFuncDenseLp` `Mathlib.MeasureTheory.Function.SimpleFuncDense` `Mathlib.MeasureTheory.Function.SimpleFunc` `Mathlib.MeasureTheory.Function.SpecialFunctions.Arctan` `Mathlib.MeasureTheory.Function.SpecialFunctions.Basic` `Mathlib.MeasureTheory.Function.SpecialFunctions.Inner` `Mathlib.MeasureTheory.Function.SpecialFunctions.RCLike` `Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable` `Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic` `Mathlib.MeasureTheory.Function.StronglyMeasurable.ENNReal` `Mathlib.MeasureTheory.Function.StronglyMeasurable.Inner` `Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas` `Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp` `Mathlib.MeasureTheory.Function.UnifTight` `Mathlib.MeasureTheory.Function.UniformIntegrable` `Mathlib.MeasureTheory.Group.AEStabilizer` `Mathlib.MeasureTheory.Group.Action` `Mathlib.MeasureTheory.Group.AddCircle` `Mathlib.MeasureTheory.Group.Arithmetic` `Mathlib.MeasureTheory.Group.Convolution` `Mathlib.MeasureTheory.Group.Defs` `Mathlib.MeasureTheory.Group.FundamentalDomain` `Mathlib.MeasureTheory.Group.GeometryOfNumbers` `Mathlib.MeasureTheory.Group.Integral` `Mathlib.MeasureTheory.Group.LIntegral` `Mathlib.MeasureTheory.Group.MeasurableEquiv` `Mathlib.MeasureTheory.Group.Measure` `Mathlib.MeasureTheory.Group.Pointwise` `Mathlib.MeasureTheory.Group.Prod` `Mathlib.MeasureTheory.Integral.Asymptotics` `Mathlib.MeasureTheory.Integral.Average` `Mathlib.MeasureTheory.Integral.BochnerL1` `Mathlib.MeasureTheory.Integral.Bochner` `Mathlib.MeasureTheory.Integral.BoundedContinuousFunction` `Mathlib.MeasureTheory.Integral.CircleIntegral` `Mathlib.MeasureTheory.Integral.CircleTransform` `Mathlib.MeasureTheory.Integral.DivergenceTheorem` `Mathlib.MeasureTheory.Integral.DominatedConvergence` `Mathlib.MeasureTheory.Integral.ExpDecay` `Mathlib.MeasureTheory.Integral.FundThmCalculus` `Mathlib.MeasureTheory.Integral.Gamma` `Mathlib.MeasureTheory.Integral.Indicator` `Mathlib.MeasureTheory.Integral.IntegrableOn` `Mathlib.MeasureTheory.Integral.IntegralEqImproper` `Mathlib.MeasureTheory.Integral.IntervalAverage` `Mathlib.MeasureTheory.Integral.IntervalIntegral` `Mathlib.MeasureTheory.Integral.Layercake` `Mathlib.MeasureTheory.Integral.LebesgueNormedSpace` `Mathlib.MeasureTheory.Integral.Lebesgue` `Mathlib.MeasureTheory.Integral.Marginal` `Mathlib.MeasureTheory.Integral.MeanInequalities` `Mathlib.MeasureTheory.Integral.PeakFunction` `Mathlib.MeasureTheory.Integral.Periodic` `Mathlib.MeasureTheory.Integral.Pi` `Mathlib.MeasureTheory.Integral.Prod` `Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Basic` `Mathlib.MeasureTheory.Integral.SetIntegral` `Mathlib.MeasureTheory.Integral.SetToL1` `Mathlib.MeasureTheory.Integral.TorusIntegral` `Mathlib.MeasureTheory.Integral.VitaliCaratheodory` `Mathlib.MeasureTheory.Measure.AEDisjoint` `Mathlib.MeasureTheory.Measure.AEMeasurable` `Mathlib.MeasureTheory.Measure.AbsolutelyContinuous` `Mathlib.MeasureTheory.Measure.AddContent` `Mathlib.MeasureTheory.Measure.Comap` `Mathlib.MeasureTheory.Measure.Complex` `Mathlib.MeasureTheory.Measure.Content` `Mathlib.MeasureTheory.Measure.ContinuousPreimage` `Mathlib.MeasureTheory.Measure.Count` `Mathlib.MeasureTheory.Measure.DiracProba` `Mathlib.MeasureTheory.Measure.Dirac` `Mathlib.MeasureTheory.Measure.Doubling` `Mathlib.MeasureTheory.Measure.EverywherePos` `Mathlib.MeasureTheory.Measure.FiniteMeasureProd` `Mathlib.MeasureTheory.Measure.FiniteMeasure` `Mathlib.MeasureTheory.Measure.GiryMonad` `Mathlib.MeasureTheory.Measure.Haar.Basic` `Mathlib.MeasureTheory.Measure.Haar.Disintegration` `Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace` `Mathlib.MeasureTheory.Measure.Haar.NormedSpace` `Mathlib.MeasureTheory.Measure.Haar.OfBasis` `Mathlib.MeasureTheory.Measure.Haar.Quotient` `Mathlib.MeasureTheory.Measure.Haar.Unique` `Mathlib.MeasureTheory.Measure.HasOuterApproxClosed` `Mathlib.MeasureTheory.Measure.Hausdorff` `Mathlib.MeasureTheory.Measure.Lebesgue.Basic` `Mathlib.MeasureTheory.Measure.Lebesgue.Complex` `Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar` `Mathlib.MeasureTheory.Measure.Lebesgue.Integral` `Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls` `Mathlib.MeasureTheory.Measure.LevyProkhorovMetric` `Mathlib.MeasureTheory.Measure.LogLikelihoodRatio` `Mathlib.MeasureTheory.Measure.Map` `Mathlib.MeasureTheory.Measure.MeasureSpaceDef` `Mathlib.MeasureTheory.Measure.MeasureSpace` `Mathlib.MeasureTheory.Measure.MutuallySingular` `Mathlib.MeasureTheory.Measure.NullMeasurable` `Mathlib.MeasureTheory.Measure.OpenPos` `Mathlib.MeasureTheory.Measure.Portmanteau` `Mathlib.MeasureTheory.Measure.ProbabilityMeasure` `Mathlib.MeasureTheory.Measure.Prod` `Mathlib.MeasureTheory.Measure.QuasiMeasurePreserving` `Mathlib.MeasureTheory.Measure.Regular` `Mathlib.MeasureTheory.Measure.RegularityCompacts` `Mathlib.MeasureTheory.Measure.Restrict` `Mathlib.MeasureTheory.Measure.SeparableMeasure` `Mathlib.MeasureTheory.Measure.Stieltjes` `Mathlib.MeasureTheory.Measure.Sub` `Mathlib.MeasureTheory.Measure.Tilted` `Mathlib.MeasureTheory.Measure.Trim` `Mathlib.MeasureTheory.Measure.Typeclasses` `Mathlib.MeasureTheory.Measure.WithDensityFinite` `Mathlib.MeasureTheory.Measure.WithDensity` `Mathlib.MeasureTheory.Order.Group.Lattice` `Mathlib.MeasureTheory.Order.Lattice` `Mathlib.MeasureTheory.Order.UpperLower` `Mathlib.MeasureTheory.OuterMeasure.AE` `Mathlib.MeasureTheory.OuterMeasure.Basic` `Mathlib.MeasureTheory.OuterMeasure.BorelCantelli` `Mathlib.MeasureTheory.OuterMeasure.Caratheodory` `Mathlib.MeasureTheory.OuterMeasure.Defs` `Mathlib.MeasureTheory.OuterMeasure.Induced` `Mathlib.MeasureTheory.OuterMeasure.OfAddContent` `Mathlib.MeasureTheory.OuterMeasure.OfFunction` `Mathlib.MeasureTheory.OuterMeasure.Operations` `Mathlib.MeasureTheory.VectorMeasure.Basic` `Mathlib.MeasureTheory.VectorMeasure.WithDensity` `Mathlib.ModelTheory.Algebra.Field.IsAlgClosed` `Mathlib.ModelTheory.Algebra.Ring.Definability` `Mathlib.ModelTheory.Fraisse` `Mathlib.ModelTheory.Order` `Mathlib.NumberTheory.AbelSummation` `Mathlib.NumberTheory.ArithmeticFunction` `Mathlib.NumberTheory.Basic` `Mathlib.NumberTheory.BernoulliPolynomials` `Mathlib.NumberTheory.Bernoulli` `Mathlib.NumberTheory.Bertrand` `Mathlib.NumberTheory.ClassNumber.AdmissibleAbs` `Mathlib.NumberTheory.ClassNumber.AdmissibleAbsoluteValue` `Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree` `Mathlib.NumberTheory.ClassNumber.Finite` `Mathlib.NumberTheory.ClassNumber.FunctionField` `Mathlib.NumberTheory.Cyclotomic.Basic` `Mathlib.NumberTheory.Cyclotomic.CyclotomicCharacter` `Mathlib.NumberTheory.Cyclotomic.Discriminant` `Mathlib.NumberTheory.Cyclotomic.Embeddings` `Mathlib.NumberTheory.Cyclotomic.Gal` `Mathlib.NumberTheory.Cyclotomic.PID` `Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots` `Mathlib.NumberTheory.Cyclotomic.Rat` `Mathlib.NumberTheory.Cyclotomic.Three` `Mathlib.NumberTheory.DiophantineApproximation.Basic` `Mathlib.NumberTheory.DiophantineApproximation.ContinuedFractions` `Mathlib.NumberTheory.DirichletCharacter.Basic` `Mathlib.NumberTheory.DirichletCharacter.Bounds` `Mathlib.NumberTheory.DirichletCharacter.GaussSum` `Mathlib.NumberTheory.DirichletCharacter.Orthogonality` `Mathlib.NumberTheory.EulerProduct.Basic` `Mathlib.NumberTheory.EulerProduct.DirichletLSeries` `Mathlib.NumberTheory.EulerProduct.ExpLog` `Mathlib.NumberTheory.FLT.Basic` `Mathlib.NumberTheory.FLT.Four` `Mathlib.NumberTheory.FLT.Polynomial` `Mathlib.NumberTheory.FLT.Three` `Mathlib.NumberTheory.FactorisationProperties` `Mathlib.NumberTheory.FermatPsp` `Mathlib.NumberTheory.Fermat` `Mathlib.NumberTheory.FunctionField` `Mathlib.NumberTheory.GaussSum` `Mathlib.NumberTheory.Harmonic.Bounds` `Mathlib.NumberTheory.Harmonic.EulerMascheroni` `Mathlib.NumberTheory.Harmonic.GammaDeriv` `Mathlib.NumberTheory.Harmonic.Int` `Mathlib.NumberTheory.Harmonic.ZetaAsymp` `Mathlib.NumberTheory.JacobiSum.Basic` `Mathlib.NumberTheory.KummerDedekind` `Mathlib.NumberTheory.LSeries.AbstractFuncEq` `Mathlib.NumberTheory.LSeries.Basic` `Mathlib.NumberTheory.LSeries.Convergence` `Mathlib.NumberTheory.LSeries.Convolution` `Mathlib.NumberTheory.LSeries.Deriv` `Mathlib.NumberTheory.LSeries.DirichletContinuation` `Mathlib.NumberTheory.LSeries.Dirichlet` `Mathlib.NumberTheory.LSeries.HurwitzZetaEven` `Mathlib.NumberTheory.LSeries.HurwitzZetaOdd` `Mathlib.NumberTheory.LSeries.HurwitzZetaValues` `Mathlib.NumberTheory.LSeries.HurwitzZeta` `Mathlib.NumberTheory.LSeries.Injectivity` `Mathlib.NumberTheory.LSeries.Linearity` `Mathlib.NumberTheory.LSeries.MellinEqDirichlet` `Mathlib.NumberTheory.LSeries.Nonvanishing` `Mathlib.NumberTheory.LSeries.Positivity` `Mathlib.NumberTheory.LSeries.PrimesInAP` `Mathlib.NumberTheory.LSeries.RiemannZeta` `Mathlib.NumberTheory.LSeries.SumCoeff` `Mathlib.NumberTheory.LSeries.ZMod` `Mathlib.NumberTheory.LegendreSymbol.AddCharacter` `Mathlib.NumberTheory.LegendreSymbol.Basic` `Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas` `Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol` `Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic` `Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum` `Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity` `Mathlib.NumberTheory.LegendreSymbol.ZModChar` `Mathlib.NumberTheory.LucasLehmer` `Mathlib.NumberTheory.LucasPrimality` `Mathlib.NumberTheory.MaricaSchoenheim` `Mathlib.NumberTheory.ModularForms.Basic` `Mathlib.NumberTheory.ModularForms.CongruenceSubgroups` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.Basic` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.Defs` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.MDifferentiable` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence` `Mathlib.NumberTheory.ModularForms.Identities` `Mathlib.NumberTheory.ModularForms.JacobiTheta.Bounds` `Mathlib.NumberTheory.ModularForms.JacobiTheta.Manifold` `Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable` `Mathlib.NumberTheory.ModularForms.JacobiTheta.TwoVariable` `Mathlib.NumberTheory.ModularForms.LevelOne` `Mathlib.NumberTheory.ModularForms.QExpansion` `Mathlib.NumberTheory.ModularForms.SlashActions` `Mathlib.NumberTheory.ModularForms.SlashInvariantForms` `Mathlib.NumberTheory.Modular` `Mathlib.NumberTheory.MulChar.Basic` `Mathlib.NumberTheory.MulChar.Duality` `Mathlib.NumberTheory.MulChar.Lemmas` `Mathlib.NumberTheory.Multiplicity` `Mathlib.NumberTheory.NumberField.AdeleRing` `Mathlib.NumberTheory.NumberField.Basic` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone` `Mathlib.NumberTheory.NumberField.ClassNumber` `Mathlib.NumberTheory.NumberField.Completion` `Mathlib.NumberTheory.NumberField.Discriminant.Basic` `Mathlib.NumberTheory.NumberField.Discriminant.Defs` `Mathlib.NumberTheory.NumberField.Embeddings` `Mathlib.NumberTheory.NumberField.EquivReindex` `Mathlib.NumberTheory.NumberField.FinitePlaces` `Mathlib.NumberTheory.NumberField.FractionalIdeal` `Mathlib.NumberTheory.NumberField.House` `Mathlib.NumberTheory.NumberField.Norm` `Mathlib.NumberTheory.NumberField.ProductFormula` `Mathlib.NumberTheory.NumberField.Units.Basic` `Mathlib.NumberTheory.NumberField.Units.DirichletTheorem` `Mathlib.NumberTheory.NumberField.Units.Regulator` `Mathlib.NumberTheory.Ostrowski` `Mathlib.NumberTheory.Padics.Hensel` `Mathlib.NumberTheory.Padics.MahlerBasis` `Mathlib.NumberTheory.Padics.PadicIntegers` `Mathlib.NumberTheory.Padics.PadicNorm` `Mathlib.NumberTheory.Padics.PadicNumbers` `Mathlib.NumberTheory.Padics.PadicVal.Basic` `Mathlib.NumberTheory.Padics.ProperSpace` `Mathlib.NumberTheory.Padics.RingHoms` `Mathlib.NumberTheory.Pell` `Mathlib.NumberTheory.PrimeCounting` `Mathlib.NumberTheory.PrimesCongruentOne` `Mathlib.NumberTheory.Primorial` `Mathlib.NumberTheory.PythagoreanTriples` `Mathlib.NumberTheory.RamificationInertia.Basic` `Mathlib.NumberTheory.RamificationInertia.Galois` `Mathlib.NumberTheory.Rayleigh` `Mathlib.NumberTheory.SiegelsLemma` `Mathlib.NumberTheory.SmoothNumbers` `Mathlib.NumberTheory.SumFourSquares` `Mathlib.NumberTheory.SumPrimeReciprocals` `Mathlib.NumberTheory.SumTwoSquares` `Mathlib.NumberTheory.Transcendental.Lindemann.Init.AnalyticalPart` `Mathlib.NumberTheory.Transcendental.Liouville.Basic` `Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleNumber` `Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith` `Mathlib.NumberTheory.Transcendental.Liouville.Measure` `Mathlib.NumberTheory.Transcendental.Liouville.Residual` `Mathlib.NumberTheory.VonMangoldt` `Mathlib.NumberTheory.WellApproximable` `Mathlib.NumberTheory.Wilson` `Mathlib.NumberTheory.ZetaValues` `Mathlib.NumberTheory.Zsqrtd.GaussianInt` `Mathlib.NumberTheory.Zsqrtd.QuadraticReciprocity` `Mathlib.NumberTheory.Zsqrtd.ToReal` `Mathlib.Order.Filter.AtTopBot.Archimedean` `Mathlib.Order.Filter.AtTopBot.Floor` `Mathlib.Order.Filter.ENNReal` `Mathlib.Order.Filter.ZeroAndBoundedAtFilter` `Mathlib.Order.Interval.Set.IsoIoo` `Mathlib.Probability.BorelCantelli` `Mathlib.Probability.CDF` `Mathlib.Probability.CondVar` `Mathlib.Probability.ConditionalExpectation` `Mathlib.Probability.ConditionalProbability` `Mathlib.Probability.Density` `Mathlib.Probability.Distributions.Exponential` `Mathlib.Probability.Distributions.Gamma` `Mathlib.Probability.Distributions.Gaussian` `Mathlib.Probability.Distributions.Geometric` `Mathlib.Probability.Distributions.Pareto` `Mathlib.Probability.Distributions.Poisson` `Mathlib.Probability.Distributions.Uniform` `Mathlib.Probability.IdentDistrib` `Mathlib.Probability.Independence.Basic` `Mathlib.Probability.Independence.Conditional` `Mathlib.Probability.Independence.Integrable` `Mathlib.Probability.Independence.Kernel` `Mathlib.Probability.Independence.ZeroOne` `Mathlib.Probability.Integration` `Mathlib.Probability.Kernel.Basic` `Mathlib.Probability.Kernel.Composition.AbsolutelyContinuous` `Mathlib.Probability.Kernel.Composition.Basic` `Mathlib.Probability.Kernel.Composition.CompNotation` `Mathlib.Probability.Kernel.Composition.IntegralCompProd` `Mathlib.Probability.Kernel.Composition.Lemmas` `Mathlib.Probability.Kernel.Composition.MeasureCompProd` `Mathlib.Probability.Kernel.Composition.MeasureComp` `Mathlib.Probability.Kernel.Composition.ParallelComp` `Mathlib.Probability.Kernel.CondDistrib` `Mathlib.Probability.Kernel.Condexp` `Mathlib.Probability.Kernel.Defs` `Mathlib.Probability.Kernel.Disintegration.Basic` `Mathlib.Probability.Kernel.Disintegration.CDFToKernel` `Mathlib.Probability.Kernel.Disintegration.CondCDF` `Mathlib.Probability.Kernel.Disintegration.Density` `Mathlib.Probability.Kernel.Disintegration.Integral` `Mathlib.Probability.Kernel.Disintegration.MeasurableStieltjes` `Mathlib.Probability.Kernel.Disintegration.StandardBorel` `Mathlib.Probability.Kernel.Disintegration.Unique` `Mathlib.Probability.Kernel.Integral` `Mathlib.Probability.Kernel.Invariance` `Mathlib.Probability.Kernel.MeasurableIntegral` `Mathlib.Probability.Kernel.MeasurableLIntegral` `Mathlib.Probability.Kernel.Proper` `Mathlib.Probability.Kernel.RadonNikodym` `Mathlib.Probability.Kernel.WithDensity` `Mathlib.Probability.Martingale.Basic` `Mathlib.Probability.Martingale.BorelCantelli` `Mathlib.Probability.Martingale.Centering` `Mathlib.Probability.Martingale.Convergence` `Mathlib.Probability.Martingale.OptionalSampling` `Mathlib.Probability.Martingale.OptionalStopping` `Mathlib.Probability.Martingale.Upcrossing` `Mathlib.Probability.Moments.Basic` `Mathlib.Probability.Moments.ComplexMGF` `Mathlib.Probability.Moments.IntegrableExpMul` `Mathlib.Probability.Moments.MGFAnalytic` `Mathlib.Probability.Notation` `Mathlib.Probability.ProbabilityMassFunction.Basic` `Mathlib.Probability.ProbabilityMassFunction.Binomial` `Mathlib.Probability.ProbabilityMassFunction.Constructions` `Mathlib.Probability.ProbabilityMassFunction.Integrals` `Mathlib.Probability.ProbabilityMassFunction.Monad` `Mathlib.Probability.Process.Adapted` `Mathlib.Probability.Process.Filtration` `Mathlib.Probability.Process.HittingTime` `Mathlib.Probability.Process.PartitionFiltration` `Mathlib.Probability.Process.Stopping` `Mathlib.Probability.StrongLaw` `Mathlib.Probability.UniformOn` `Mathlib.Probability.Variance` `Mathlib.RepresentationTheory.Basic` `Mathlib.RepresentationTheory.Character` `Mathlib.RepresentationTheory.FDRep` `Mathlib.RepresentationTheory.GroupCohomology.Basic` `Mathlib.RepresentationTheory.GroupCohomology.Hilbert90` `Mathlib.RepresentationTheory.GroupCohomology.LowDegree` `Mathlib.RepresentationTheory.GroupCohomology.Resolution` `Mathlib.RepresentationTheory.Invariants` `Mathlib.RepresentationTheory.Rep` `Mathlib.RingTheory.AdicCompletion.Algebra` `Mathlib.RingTheory.AdicCompletion.AsTensorProduct` `Mathlib.RingTheory.AdicCompletion.Basic` `Mathlib.RingTheory.AdicCompletion.Exactness` `Mathlib.RingTheory.AdicCompletion.Functoriality` `Mathlib.RingTheory.AdicCompletion.Noetherian` `Mathlib.RingTheory.Adjoin.FG` `Mathlib.RingTheory.Adjoin.Field` `Mathlib.RingTheory.Adjoin.PowerBasis` `Mathlib.RingTheory.Adjoin.Tower` `Mathlib.RingTheory.AdjoinRoot` `Mathlib.RingTheory.Algebraic.Basic` `Mathlib.RingTheory.Algebraic.Integral` `Mathlib.RingTheory.Algebraic.MvPolynomial` `Mathlib.RingTheory.AlgebraicIndependent.Adjoin` `Mathlib.RingTheory.AlgebraicIndependent.AlgebraicClosure` `Mathlib.RingTheory.AlgebraicIndependent.RankAndCardinality` `Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis` `Mathlib.RingTheory.AlgebraicIndependent.Transcendental` `Mathlib.RingTheory.Artinian.Algebra` `Mathlib.RingTheory.Binomial` `Mathlib.RingTheory.ClassGroup` `Mathlib.RingTheory.Complex` `Mathlib.RingTheory.CotangentLocalizationAway` `Mathlib.RingTheory.DedekindDomain.AdicValuation` `Mathlib.RingTheory.DedekindDomain.Basic` `Mathlib.RingTheory.DedekindDomain.Different` `Mathlib.RingTheory.DedekindDomain.Dvr` `Mathlib.RingTheory.DedekindDomain.Factorization` `Mathlib.RingTheory.DedekindDomain.FiniteAdeleRing` `Mathlib.RingTheory.DedekindDomain.Ideal` `Mathlib.RingTheory.DedekindDomain.IntegralClosure` `Mathlib.RingTheory.DedekindDomain.PID` `Mathlib.RingTheory.DedekindDomain.SInteger` `Mathlib.RingTheory.DedekindDomain.SelmerGroup` `Mathlib.RingTheory.Derivation.MapCoeffs` `Mathlib.RingTheory.DiscreteValuationRing.Basic` `Mathlib.RingTheory.DiscreteValuationRing.TFAE` `Mathlib.RingTheory.Discriminant` `Mathlib.RingTheory.DividedPowers.Basic` `Mathlib.RingTheory.EssentialFiniteness` `Mathlib.RingTheory.Etale.Basic` `Mathlib.RingTheory.Etale.Field` `Mathlib.RingTheory.Etale.Kaehler` `Mathlib.RingTheory.Etale.Pi` `Mathlib.RingTheory.Extension` `Mathlib.RingTheory.Filtration` `Mathlib.RingTheory.FinitePresentation` `Mathlib.RingTheory.FiniteStability` `Mathlib.RingTheory.FiniteType` `Mathlib.RingTheory.Finiteness.Quotient` `Mathlib.RingTheory.Fintype` `Mathlib.RingTheory.Flat.Basic` `Mathlib.RingTheory.Flat.CategoryTheory` `Mathlib.RingTheory.Flat.Equalizer` `Mathlib.RingTheory.Flat.EquationalCriterion` `Mathlib.RingTheory.Flat.FaithfullyFlat.Algebra` `Mathlib.RingTheory.Flat.FaithfullyFlat.Basic` `Mathlib.RingTheory.Flat.Localization` `Mathlib.RingTheory.Flat.Stability` `Mathlib.RingTheory.FractionalIdeal.Norm` `Mathlib.RingTheory.FractionalIdeal.Operations` `Mathlib.RingTheory.Frobenius` `Mathlib.RingTheory.Generators` `Mathlib.RingTheory.Henselian` `Mathlib.RingTheory.HopkinsLevitzki` `Mathlib.RingTheory.Ideal.Cotangent` `Mathlib.RingTheory.Ideal.GoingDown` `Mathlib.RingTheory.Ideal.GoingUp` `Mathlib.RingTheory.Ideal.Norm.AbsNorm` `Mathlib.RingTheory.Ideal.Norm.RelNorm` `Mathlib.RingTheory.Ideal.Quotient.Index` `Mathlib.RingTheory.Idempotents` `Mathlib.RingTheory.Int.Basic` `Mathlib.RingTheory.IntegralClosure.Algebra.Basic` `Mathlib.RingTheory.IntegralClosure.IntegralRestrict` `Mathlib.RingTheory.IntegralClosure.IntegrallyClosed` `Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic` `Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Basic` `Mathlib.RingTheory.IntegralDomain` `Mathlib.RingTheory.Invariant` `Mathlib.RingTheory.IsAdjoinRoot` `Mathlib.RingTheory.Jacobson.Polynomial` `Mathlib.RingTheory.Jacobson.Ring` `Mathlib.RingTheory.Kaehler.Basic` `Mathlib.RingTheory.Kaehler.CotangentComplex` `Mathlib.RingTheory.Kaehler.JacobiZariski` `Mathlib.RingTheory.Kaehler.Polynomial` `Mathlib.RingTheory.Kaehler.TensorProduct` `Mathlib.RingTheory.LaurentSeries` `Mathlib.RingTheory.LinearDisjoint` `Mathlib.RingTheory.LittleWedderburn` `Mathlib.RingTheory.LocalProperties.IntegrallyClosed` `Mathlib.RingTheory.LocalProperties.Projective` `Mathlib.RingTheory.LocalRing.Module` `Mathlib.RingTheory.LocalRing.Quotient` `Mathlib.RingTheory.Localization.Away.AdjoinRoot` `Mathlib.RingTheory.Localization.Free` `Mathlib.RingTheory.Localization.Integral` `Mathlib.RingTheory.Localization.InvSubmonoid` `Mathlib.RingTheory.Localization.NormTrace` `Mathlib.RingTheory.MvPolynomial` `Mathlib.RingTheory.MvPowerSeries.LinearTopology` `Mathlib.RingTheory.MvPowerSeries.PiTopology` `Mathlib.RingTheory.Nilpotent.Basic` `Mathlib.RingTheory.NoetherNormalization` `Mathlib.RingTheory.Norm.Basic` `Mathlib.RingTheory.Norm.Defs` `Mathlib.RingTheory.Norm.Transitivity` `Mathlib.RingTheory.NormTrace` `Mathlib.RingTheory.Nullstellensatz` `Mathlib.RingTheory.Perfection` `Mathlib.RingTheory.Perfectoid.Untilt` `Mathlib.RingTheory.PiTensorProduct` `Mathlib.RingTheory.Polynomial.Basic` `Mathlib.RingTheory.Polynomial.Chebyshev` `Mathlib.RingTheory.Polynomial.Cyclotomic.Basic` `Mathlib.RingTheory.Polynomial.Cyclotomic.Eval` `Mathlib.RingTheory.Polynomial.Cyclotomic.Expand` `Mathlib.RingTheory.Polynomial.Cyclotomic.Roots` `Mathlib.RingTheory.Polynomial.Dickson` `Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral` `Mathlib.RingTheory.Polynomial.GaussLemma` `Mathlib.RingTheory.Polynomial.Hermite.Gaussian` `Mathlib.RingTheory.Polynomial.IrreducibleRing` `Mathlib.RingTheory.Polynomial.Nilpotent` `Mathlib.RingTheory.Polynomial.Quotient` `Mathlib.RingTheory.Polynomial.RationalRoot` `Mathlib.RingTheory.Polynomial.Selmer` `Mathlib.RingTheory.Polynomial.SeparableDegree` `Mathlib.RingTheory.Polynomial.UniqueFactorization` `Mathlib.RingTheory.PowerBasis` `Mathlib.RingTheory.PowerSeries.Binomial` `Mathlib.RingTheory.PowerSeries.Derivative` `Mathlib.RingTheory.PowerSeries.Inverse` `Mathlib.RingTheory.PowerSeries.PiTopology` `Mathlib.RingTheory.Presentation` `Mathlib.RingTheory.ReesAlgebra` `Mathlib.RingTheory.Regular.IsSMulRegular` `Mathlib.RingTheory.Regular.RegularSequence` `Mathlib.RingTheory.RingHom.FinitePresentation` `Mathlib.RingTheory.RingHom.FiniteType` `Mathlib.RingTheory.RingHom.Flat` `Mathlib.RingTheory.RingHom.Integral` `Mathlib.RingTheory.RingHom.StandardSmooth` `Mathlib.RingTheory.RingHom.Unramified` `Mathlib.RingTheory.RootsOfUnity.AlgebraicallyClosed` `Mathlib.RingTheory.RootsOfUnity.Basic` `Mathlib.RingTheory.RootsOfUnity.Complex` `Mathlib.RingTheory.RootsOfUnity.EnoughRootsOfUnity` `Mathlib.RingTheory.RootsOfUnity.Lemmas` `Mathlib.RingTheory.RootsOfUnity.Minpoly` `Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots` `Mathlib.RingTheory.Smooth.Basic` `Mathlib.RingTheory.Smooth.Kaehler` `Mathlib.RingTheory.Smooth.Local` `Mathlib.RingTheory.Smooth.Locus` `Mathlib.RingTheory.Smooth.Pi` `Mathlib.RingTheory.Smooth.StandardSmoothCotangent` `Mathlib.RingTheory.Smooth.StandardSmooth` `Mathlib.RingTheory.Spectrum.Maximal.Topology` `Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet` `Mathlib.RingTheory.Spectrum.Prime.FreeLocus` `Mathlib.RingTheory.Spectrum.Prime.IsOpenComapC` `Mathlib.RingTheory.Spectrum.Prime.Jacobson` `Mathlib.RingTheory.Spectrum.Prime.Module` `Mathlib.RingTheory.Spectrum.Prime.Noetherian` `Mathlib.RingTheory.Spectrum.Prime.Polynomial` `Mathlib.RingTheory.Spectrum.Prime.TensorProduct` `Mathlib.RingTheory.Spectrum.Prime.Topology` `Mathlib.RingTheory.TensorProduct.Nontrivial` `Mathlib.RingTheory.Trace.Basic` `Mathlib.RingTheory.Trace.Defs` `Mathlib.RingTheory.Trace.Quotient` `Mathlib.RingTheory.Unramified.Basic` `Mathlib.RingTheory.Unramified.Field` `Mathlib.RingTheory.Unramified.Finite` `Mathlib.RingTheory.Unramified.LocalRing` `Mathlib.RingTheory.Unramified.Locus` `Mathlib.RingTheory.Unramified.Pi` `Mathlib.RingTheory.Valuation.AlgebraInstances` `Mathlib.RingTheory.Valuation.Archimedean` `Mathlib.RingTheory.Valuation.Integral` `Mathlib.RingTheory.Valuation.LocalSubring` `Mathlib.RingTheory.Valuation.Minpoly` `Mathlib.RingTheory.Valuation.RankOne` `Mathlib.RingTheory.WittVector.Basic` `Mathlib.RingTheory.WittVector.Compare` `Mathlib.RingTheory.WittVector.Complete` `Mathlib.RingTheory.WittVector.Defs` `Mathlib.RingTheory.WittVector.DiscreteValuationRing` `Mathlib.RingTheory.WittVector.Domain` `Mathlib.RingTheory.WittVector.FrobeniusFractionField` `Mathlib.RingTheory.WittVector.Frobenius` `Mathlib.RingTheory.WittVector.Identities` `Mathlib.RingTheory.WittVector.InitTail` `Mathlib.RingTheory.WittVector.IsPoly` `Mathlib.RingTheory.WittVector.Isocrystal` `Mathlib.RingTheory.WittVector.MulCoeff` `Mathlib.RingTheory.WittVector.MulP` `Mathlib.RingTheory.WittVector.StructurePolynomial` `Mathlib.RingTheory.WittVector.Teichmuller` `Mathlib.RingTheory.WittVector.Truncated` `Mathlib.RingTheory.WittVector.Verschiebung` `Mathlib.RingTheory.WittVector.WittPolynomial` `Mathlib.RingTheory.ZMod` `Mathlib.SetTheory.Nimber.Field` `Mathlib.Tactic.FunProp.ContDiff` `Mathlib.Tactic.FunProp.Differentiable` `Mathlib.Tactic.NormNum.LegendreSymbol` `Mathlib.Tactic.ReduceModChar` `Mathlib.Tactic.Rify` `Mathlib.Tactic` `Mathlib.Topology.Algebra.Affine` `Mathlib.Topology.Algebra.Algebra.Equiv` `Mathlib.Topology.Algebra.Algebra` `Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic` `Mathlib.Topology.Algebra.Category.ProfiniteGrp.Limits` `Mathlib.Topology.Algebra.ClopenNhdofOne` `Mathlib.Topology.Algebra.ClosedSubgroup` `Mathlib.Topology.Algebra.ContinuousAffineMap` `Mathlib.Topology.Algebra.ContinuousMonoidHom` `Mathlib.Topology.Algebra.Equicontinuity` `Mathlib.Topology.Algebra.Field` `Mathlib.Topology.Algebra.FilterBasis` `Mathlib.Topology.Algebra.Group.Basic` `Mathlib.Topology.Algebra.Group.CompactOpen` `Mathlib.Topology.Algebra.Group.Compact` `Mathlib.Topology.Algebra.Group.OpenMapping` `Mathlib.Topology.Algebra.Group.Quotient` `Mathlib.Topology.Algebra.Group.SubmonoidClosure` `Mathlib.Topology.Algebra.Group.TopologicalAbelianization` `Mathlib.Topology.Algebra.GroupCompletion` `Mathlib.Topology.Algebra.InfiniteSum.Constructions` `Mathlib.Topology.Algebra.InfiniteSum.ENNReal` `Mathlib.Topology.Algebra.InfiniteSum.Field` `Mathlib.Topology.Algebra.InfiniteSum.GroupCompletion` `Mathlib.Topology.Algebra.InfiniteSum.Group` `Mathlib.Topology.Algebra.InfiniteSum.Module` `Mathlib.Topology.Algebra.InfiniteSum.NatInt` `Mathlib.Topology.Algebra.InfiniteSum.Nonarchimedean` `Mathlib.Topology.Algebra.InfiniteSum.Order` `Mathlib.Topology.Algebra.InfiniteSum.Real` `Mathlib.Topology.Algebra.InfiniteSum.Ring` `Mathlib.Topology.Algebra.IntermediateField` `Mathlib.Topology.Algebra.IsOpenUnits` `Mathlib.Topology.Algebra.LinearTopology` `Mathlib.Topology.Algebra.Localization` `Mathlib.Topology.Algebra.Module.Alternating.Basic` `Mathlib.Topology.Algebra.Module.Alternating.Topology` `Mathlib.Topology.Algebra.Module.Basic` `Mathlib.Topology.Algebra.Module.Cardinality` `Mathlib.Topology.Algebra.Module.CharacterSpace` `Mathlib.Topology.Algebra.Module.Compact` `Mathlib.Topology.Algebra.Module.Determinant` `Mathlib.Topology.Algebra.Module.Equiv` `Mathlib.Topology.Algebra.Module.FiniteDimension` `Mathlib.Topology.Algebra.Module.LinearMapPiProd` `Mathlib.Topology.Algebra.Module.LinearMap` `Mathlib.Topology.Algebra.Module.LinearPMap` `Mathlib.Topology.Algebra.Module.LocallyConvex` `Mathlib.Topology.Algebra.Module.ModuleTopology` `Mathlib.Topology.Algebra.Module.Multilinear.Basic` `Mathlib.Topology.Algebra.Module.Multilinear.Bounded` `Mathlib.Topology.Algebra.Module.Multilinear.Topology` `Mathlib.Topology.Algebra.Module.Simple` `Mathlib.Topology.Algebra.Module.Star` `Mathlib.Topology.Algebra.Module.StrongTopology` `Mathlib.Topology.Algebra.Module.UniformConvergence` `Mathlib.Topology.Algebra.Module.WeakBilin` `Mathlib.Topology.Algebra.Module.WeakDual` `Mathlib.Topology.Algebra.MvPolynomial` `Mathlib.Topology.Algebra.NonUnitalAlgebra` `Mathlib.Topology.Algebra.NonUnitalStarAlgebra` `Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology` `Mathlib.Topology.Algebra.Nonarchimedean.Bases` `Mathlib.Topology.Algebra.Nonarchimedean.Basic` `Mathlib.Topology.Algebra.Nonarchimedean.Completion` `Mathlib.Topology.Algebra.Nonarchimedean.TotallyDisconnected` `Mathlib.Topology.Algebra.OpenSubgroup` `Mathlib.Topology.Algebra.Order.Archimedean` `Mathlib.Topology.Algebra.Order.Field` `Mathlib.Topology.Algebra.Order.Floor` `Mathlib.Topology.Algebra.Order.Group` `Mathlib.Topology.Algebra.Order.LiminfLimsup` `Mathlib.Topology.Algebra.Order.UpperLower` `Mathlib.Topology.Algebra.Polynomial` `Mathlib.Topology.Algebra.PontryaginDual` `Mathlib.Topology.Algebra.ProperAction.ProperlyDiscontinuous` `Mathlib.Topology.Algebra.Ring.Basic` `Mathlib.Topology.Algebra.Ring.Ideal` `Mathlib.Topology.Algebra.SeparationQuotient.Basic` `Mathlib.Topology.Algebra.SeparationQuotient.Hom` `Mathlib.Topology.Algebra.SeparationQuotient.Section` `Mathlib.Topology.Algebra.StarSubalgebra` `Mathlib.Topology.Algebra.TopologicallyNilpotent` `Mathlib.Topology.Algebra.UniformConvergence` `Mathlib.Topology.Algebra.UniformField` `Mathlib.Topology.Algebra.UniformFilterBasis` `Mathlib.Topology.Algebra.UniformGroup.Basic` `Mathlib.Topology.Algebra.UniformGroup.Defs` `Mathlib.Topology.Algebra.UniformMulAction` `Mathlib.Topology.Algebra.UniformRing` `Mathlib.Topology.Algebra.Valued.LocallyCompact` `Mathlib.Topology.Algebra.Valued.NormedValued` `Mathlib.Topology.Algebra.Valued.ValuationTopology` `Mathlib.Topology.Algebra.Valued.ValuedField` `Mathlib.Topology.Baire.BaireMeasurable` `Mathlib.Topology.Baire.CompleteMetrizable` `Mathlib.Topology.Bornology.BoundedOperation` `Mathlib.Topology.CWComplex.Abstract.Basic` `Mathlib.Topology.CWComplex.Classical.Basic` `Mathlib.Topology.Category.CompHaus.Basic` `Mathlib.Topology.Category.CompHaus.EffectiveEpi` `Mathlib.Topology.Category.CompHaus.Frm` `Mathlib.Topology.Category.CompHaus.Limits` `Mathlib.Topology.Category.CompHaus.Projective` `Mathlib.Topology.Category.CompactlyGenerated` `Mathlib.Topology.Category.Compactum` `Mathlib.Topology.Category.DeltaGenerated` `Mathlib.Topology.Category.LightProfinite.AsLimit` `Mathlib.Topology.Category.LightProfinite.Basic` `Mathlib.Topology.Category.LightProfinite.EffectiveEpi` `Mathlib.Topology.Category.LightProfinite.Extend` `Mathlib.Topology.Category.LightProfinite.Limits` `Mathlib.Topology.Category.LightProfinite.Sequence` `Mathlib.Topology.Category.Locale` `Mathlib.Topology.Category.Profinite.AsLimit` `Mathlib.Topology.Category.Profinite.Basic` `Mathlib.Topology.Category.Profinite.CofilteredLimit` `Mathlib.Topology.Category.Profinite.EffectiveEpi` `Mathlib.Topology.Category.Profinite.Extend` `Mathlib.Topology.Category.Profinite.Limits` `Mathlib.Topology.Category.Profinite.Nobeling` `Mathlib.Topology.Category.Profinite.Product` `Mathlib.Topology.Category.Profinite.Projective` `Mathlib.Topology.Category.Stonean.Adjunctions` `Mathlib.Topology.Category.Stonean.Basic` `Mathlib.Topology.Category.Stonean.EffectiveEpi` `Mathlib.Topology.Category.Stonean.Limits` `Mathlib.Topology.Category.TopCat.Sphere` `Mathlib.Topology.Category.TopCommRingCat` `Mathlib.Topology.Compactness.CompactlyGeneratedSpace` `Mathlib.Topology.Compactness.DeltaGeneratedSpace` `Mathlib.Topology.Compactness.PseudometrizableLindelof` `Mathlib.Topology.Connected.LocPathConnected` `Mathlib.Topology.Connected.PathConnected` `Mathlib.Topology.ContinuousMap.Algebra` `Mathlib.Topology.ContinuousMap.Bounded.Basic` `Mathlib.Topology.ContinuousMap.Bounded.Star` `Mathlib.Topology.ContinuousMap.BoundedCompactlySupported` `Mathlib.Topology.ContinuousMap.Compact` `Mathlib.Topology.ContinuousMap.CompactlySupported` `Mathlib.Topology.ContinuousMap.ContinuousMapZero` `Mathlib.Topology.ContinuousMap.Ideals` `Mathlib.Topology.ContinuousMap.Lattice` `Mathlib.Topology.ContinuousMap.LocallyConstant` `Mathlib.Topology.ContinuousMap.Periodic` `Mathlib.Topology.ContinuousMap.Polynomial` `Mathlib.Topology.ContinuousMap.StarOrdered` `Mathlib.Topology.ContinuousMap.Star` `Mathlib.Topology.ContinuousMap.StoneWeierstrass` `Mathlib.Topology.ContinuousMap.Units` `Mathlib.Topology.ContinuousMap.Weierstrass` `Mathlib.Topology.ContinuousMap.ZeroAtInfty` `Mathlib.Topology.EMetricSpace.Basic` `Mathlib.Topology.EMetricSpace.BoundedVariation` `Mathlib.Topology.EMetricSpace.Defs` `Mathlib.Topology.EMetricSpace.Diam` `Mathlib.Topology.EMetricSpace.Lipschitz` `Mathlib.Topology.EMetricSpace.Paracompact` `Mathlib.Topology.EMetricSpace.Pi` `Mathlib.Topology.Germ` `Mathlib.Topology.Homotopy.Basic` `Mathlib.Topology.Homotopy.Contractible` `Mathlib.Topology.Homotopy.Equiv` `Mathlib.Topology.Homotopy.HSpaces` `Mathlib.Topology.Homotopy.HomotopyGroup` `Mathlib.Topology.Homotopy.Path` `Mathlib.Topology.Homotopy.Product` `Mathlib.Topology.Instances.AddCircle` `Mathlib.Topology.Instances.CantorSet` `Mathlib.Topology.Instances.Complex` `Mathlib.Topology.Instances.ENNReal.Defs` `Mathlib.Topology.Instances.ENNReal.Lemmas` `Mathlib.Topology.Instances.EReal.Defs` `Mathlib.Topology.Instances.EReal.Lemmas` `Mathlib.Topology.Instances.Int` `Mathlib.Topology.Instances.Irrational` `Mathlib.Topology.Instances.Matrix` `Mathlib.Topology.Instances.NNReal.Defs` `Mathlib.Topology.Instances.NNReal.Lemmas` `Mathlib.Topology.Instances.Nat` `Mathlib.Topology.Instances.PNat` `Mathlib.Topology.Instances.RatLemmas` `Mathlib.Topology.Instances.Rat` `Mathlib.Topology.Instances.Real.Defs` `Mathlib.Topology.Instances.Real.Lemmas` `Mathlib.Topology.Instances.RealVectorSpace` `Mathlib.Topology.Instances.TrivSqZeroExt` `Mathlib.Topology.Instances.ZMultiples` `Mathlib.Topology.Maps.Proper.CompactlyGenerated` `Mathlib.Topology.MetricSpace.Algebra` `Mathlib.Topology.MetricSpace.Antilipschitz` `Mathlib.Topology.MetricSpace.Basic` `Mathlib.Topology.MetricSpace.Bilipschitz` `Mathlib.Topology.MetricSpace.Bounded` `Mathlib.Topology.MetricSpace.CantorScheme` `Mathlib.Topology.MetricSpace.CauSeqFilter` `Mathlib.Topology.MetricSpace.Cauchy` `Mathlib.Topology.MetricSpace.Closeds` `Mathlib.Topology.MetricSpace.Completion` `Mathlib.Topology.MetricSpace.Contracting` `Mathlib.Topology.MetricSpace.Defs` `Mathlib.Topology.MetricSpace.DilationEquiv` `Mathlib.Topology.MetricSpace.Dilation` `Mathlib.Topology.MetricSpace.Equicontinuity` `Mathlib.Topology.MetricSpace.Gluing` `Mathlib.Topology.MetricSpace.GromovHausdorffRealized` `Mathlib.Topology.MetricSpace.GromovHausdorff` `Mathlib.Topology.MetricSpace.HausdorffDimension` `Mathlib.Topology.MetricSpace.HausdorffDistance` `Mathlib.Topology.MetricSpace.HolderNorm` `Mathlib.Topology.MetricSpace.Holder` `Mathlib.Topology.MetricSpace.Infsep` `Mathlib.Topology.MetricSpace.IsometricSMul` `Mathlib.Topology.MetricSpace.Isometry` `Mathlib.Topology.MetricSpace.Kuratowski` `Mathlib.Topology.MetricSpace.Lipschitz` `Mathlib.Topology.MetricSpace.MetricSeparated` `Mathlib.Topology.MetricSpace.PartitionOfUnity` `Mathlib.Topology.MetricSpace.Perfect` `Mathlib.Topology.MetricSpace.PiNat` `Mathlib.Topology.MetricSpace.Polish` `Mathlib.Topology.MetricSpace.ProperSpace.Lemmas` `Mathlib.Topology.MetricSpace.ProperSpace` `Mathlib.Topology.MetricSpace.Pseudo.Basic` `Mathlib.Topology.MetricSpace.Pseudo.Constructions` `Mathlib.Topology.MetricSpace.Pseudo.Defs` `Mathlib.Topology.MetricSpace.Pseudo.Lemmas` `Mathlib.Topology.MetricSpace.Pseudo.Pi` `Mathlib.Topology.MetricSpace.Pseudo.Real` `Mathlib.Topology.MetricSpace.Sequences` `Mathlib.Topology.MetricSpace.ShrinkingLemma` `Mathlib.Topology.MetricSpace.ThickenedIndicator` `Mathlib.Topology.MetricSpace.Thickening` `Mathlib.Topology.MetricSpace.Ultra.Basic` `Mathlib.Topology.MetricSpace.Ultra.ContinuousMaps` `Mathlib.Topology.MetricSpace.Ultra.TotallySeparated` `Mathlib.Topology.Metrizable.Basic` `Mathlib.Topology.Metrizable.ContinuousMap` `Mathlib.Topology.Metrizable.Uniformity` `Mathlib.Topology.Metrizable.Urysohn` `Mathlib.Topology.Order.Category.FrameAdjunction` `Mathlib.Topology.PartitionOfUnity` `Mathlib.Topology.Path` `Mathlib.Topology.Semicontinuous` `Mathlib.Topology.Separation.CompletelyRegular` `Mathlib.Topology.Separation.NotNormal` `Mathlib.Topology.Sheaves.CommRingCat` `Mathlib.Topology.TietzeExtension` `Mathlib.Topology.UniformSpace.AbsoluteValue` `Mathlib.Topology.UniformSpace.CompareReals` `Mathlib.Topology.UniformSpace.Dini` `Mathlib.Topology.UniformSpace.Matrix` `Mathlib.Topology.UnitInterval` `Mathlib.Topology.UrysohnsBounded` `Mathlib.Topology.UrysohnsLemma` `Mathlib.Topology.VectorBundle.Basic` `Mathlib.Topology.VectorBundle.Constructions` `Mathlib.Topology.VectorBundle.Hom`	-1

Declarations diff

+ instance : InvolutiveNeg ℤˣ where neg_neg u := by ext; simp
+ instance : Neg ℤˣ where neg u := ⟨-u, -u⁻¹, by simp, by simp⟩
+ unitsVal_neg

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

j-loreaux

bors d+

j-loreaux · 2025-02-18T16:08:46Z

Mathlib/Algebra/Group/Int/Units.lean

@@ -87,4 +87,16 @@ lemma isUnit_add_isUnit_eq_isUnit_add_isUnit {a b c d : ℤ} (ha : IsUnit a) (hb
 lemma eq_one_or_neg_one_of_mul_eq_neg_one (h : u * v = -1) : u = 1 ∨ u = -1 :=
  Or.elim (eq_one_or_neg_one_of_mul_eq_neg_one' h) (fun H => Or.inl H.1) fun H => Or.inr H.1

+instance : Neg ℤˣ where neg u := ⟨-u, -u⁻¹, by simp, by simp⟩


Do you think we should add, in the appropriate file about the units of a ring, an example that shows there there is no non-defeq diamond for Neg ℤˣ? This is simple enough that I'm tempted to say it's okay without it, but still I prefer these sorts of sanity checks.

Good idea, but the natural place to put such a test would have been the file I'm deleting here, namely Algebra.Ring.Int.Units. I'll skip for the time being

bors merge

mathlib-bors · 2025-02-18T16:09:00Z

✌️ YaelDillies can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

This lets us avoid importing `Ring` in downstream files (most of the effect is to come).

eric-wieser · 2025-02-18T16:59:10Z

bors r-

I'm not really a fan of duplicating instances like this. Can we just move the existing general instance earlier?

mathlib-bors · 2025-02-18T16:59:14Z

Canceled.

eric-wieser · 2025-02-18T17:01:04Z

Which is to say; if we want negation on the units of the integers, but don't want the ring structure yet, then it sounds like we want to separate HasDistribNeg and Ring.

YaelDillies · 2025-02-18T17:35:00Z

Neg is a notation typeclass. Convention has it that it's okay to duplicate notation to have them earlier. Eg I would also like to recreate the Abs notation typeclass and provide a very early instance of Abs Int. This would hugely cut down imports around basic algebraic order theory.
I really don't want to move HasDistribNeg earlier because it's about a generic type but non-additivisable. It is a very ring-like object IMO.

eric-wieser · 2025-02-18T19:57:11Z

It is a very ring-like object IMO.

And Neg (Units Int) isn't? I'd argue that either negation on units is somehow more primitive than rings (in which case we should split HasDistribNeg), or that it isn't (in which case we can move the content about Neg (Units Int) downstream)

Convention has it that it's okay to duplicate notation to have them earlier.

I think this convention only really applies to Notation Concrete vs Structure Concrete, rather than Notation (F Concrete) vs Structure (F X). Certainly it would be weird to define multiplication on the integer polynomials before defining the ring for general polynomials.

YaelDillies · 2025-02-19T16:03:03Z

And Neg (Units Int) isn't? I'd argue that either negation on units is somehow more primitive than rings (in which case we should split HasDistribNeg), or that it isn't (in which case we can move the content about Neg (Units Int) downstream)

Neg (Units Int) isn't ring-like, no. Basic algebra files use it as a way to write alternating signs, which is a very group-like operation. And this doesn't cause problems with additivisation because Units Int is considered fixed, which fits its use as a foundational type.

I think this convention only really applies to Notation Concrete vs Structure Concrete, rather than Notation (F Concrete) vs Structure (F X). Certainly it would be weird to define multiplication on the integer polynomials before defining the ring for general polynomials.

To hammer the nail further, I consider F Concrete to itself be a concrete type. Multiplication on Polynomial Int certainly could be defined earlier if ever it became foundationally useful (I doubt that will happen, however).

Another option would be to define a custom type IntUnits with two elements and the correct multiplication, but I doubt not wanting to duplicate instances on concrete types is worth the duplication and subsequent confusion.

This lets us avoid importing `Ring` in downstream files (most of the effect is to come).

YaelDillies added the t-algebra Algebra (groups, rings, fields, etc) label Feb 18, 2025

YaelDillies mentioned this pull request Feb 18, 2025

chore: split Fintype/Units #21988

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j-loreaux reviewed Feb 18, 2025

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leanprover-community-mathlib4-bot added the delegated label Feb 18, 2025

mathlib-bors bot pushed a commit that referenced this pull request Feb 18, 2025

chore: shortcut instance for Neg ℤˣ (#22043)

ff3ec61

This lets us avoid importing `Ring` in downstream files (most of the effect is to come).

leanprover-community-mathlib4-bot removed the delegated label Feb 18, 2025

chore: shortcut instance for Neg ℤˣ

9c0630e

This lets us avoid importing `Ring` in downstream files (most of the effect is to come).

YaelDillies force-pushed the int_units_neg branch from 281c5eb to 9c0630e Compare February 25, 2025 11:55

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chore: shortcut instance for `Neg ℤˣ` #22043

chore: shortcut instance for `Neg ℤˣ` #22043

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chore: shortcut instance for Neg ℤˣ #22043

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chore: shortcut instance for `Neg ℤˣ` #22043

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